Let this be a lesson to chose your hosting company wisely. You can't always predict such things, but I think if you pick a big name, with a good business reputation, you'll minimize the risk. They might do checks for abuse and have plans in place to keep everything up when something goes wrong.

Eg. I can't imagine that if you host with http://www.rackspace.com/ your website would be down if you didn't do anything illegal.

DigitalOne's site is also down http://www.digitalone.com/ so they don't even have a backup server for their own website..