Some reports say that the Collins class has 60 people on board. These recent articles have had me thinking - I doubt you need so many people.
With the space/storage situation, there is even less excuse to avoid automation than anywhere else. You should be able to shift the bridge with six or seven people (including officers). You'd need some people to maintain systems, and that should be cross-skilled work. Medical, kitchen.
We're not quite there yet but there have been some interesting developments.
The Soviet Project 705 ( Alfa ) class was highly automated with a crew of only 30. All were top-tier officers ( no NCOs or ratings ), partly due to systems-mangement training requirements and partly because most of their shoot / no-shoot decisions would have been war-starters due to the types of missions assigned.
The Swedes are also keen on automation for their small littoral submarines; the Näckens had only 19 crew, but without the need for long endurance at sea.
The fire lasted 12 hours. You need more than one group of people to fight fires for that long. You can't realistically man hoses that long with a small crew not to mention everyone is at battle stations during something like that and putting out fires primarily relies on the people on duty that day since everyone can't just stop doing their jobs in scenarios where for example they're already in a combat mission.
I mean, with your minimal crew who's going to feed the badger? http://www.theguardian.com/uk/2012/aug/21/life-on-board-nucl...
Kidding aside, it'd be interesting to get Twitter's ops team headcount for comparison.