For me, it's how long I play, not how many. I can play for 30 min at optimal capacity. After that, I'll drink caffeine or a sports drink.
How many games can you play simultaneously?

I think the answer is different for OTB chess vs correspondence chess. Here they don't have the capability of hosting simuls (yet) in live chess, but of course you can start as many turn-based games as you want. Paul Keres is famous for writing that he had hundreds of correspondence games going at any one time - and that is what he credits for his vast opening knowledge.
My answer: in turn-based chess, I had ~130 games going at one time, including perhaps 10 against people within 100-200 pts of my rating. It was ok for a bit but I'm glad I'm down to ~15 games. In a "live" simul, I don't really know - is there really a difference between doing 25, 50, and 100 boards at the same time? Other than the length of the event.
My best for normal chess is 10, when I did a simul for my chess club, and 4 boards for bughouse.
How many can you handle before not being able to play at what you consider to be your "decent" or "optimal" capacity?