I had a similar thought about numbers that exist or don't.

In my book, something like two or ten exists - because my kid can hold up 2 fingers and say 2 or all of them and say 10. I am saying that you can actually count to those numbers in physical space.

But at some point, the number is like larger than the number of atoms in the universe (or whatever you think is the biggest domain we can count) and once you go past that number, your counts represent abstract numbers that don't have a physical representation.