Whoa. Lotta possibilities there. The mind boggles. Personally I have enough trouble just keeping the two human species straight, things being the way they are these days.
Just to clarify...those are breeding strains, not sexes. It just takes any two different ones to create a diploid stage. Fungal reproduction is very strange but it doesn't take all 36,000 "sexes" to mate.
Ignignokt: You and your third dimension.
Frylock: What about it?
Ignignokt: Oh, nothing, it's cute. We have five.
Err: ...Th, Thousand.
Ignignokt: Yes, five thousand.
Err: Don't question it!
Frylock: Oh, yeah? Well, I only see two.
Ignignokt: Well, that sounds like a personal problem. (edit)