Infinity Upgrades

Infinity Upgrades are unlocked after your first infinity. There are a total of 16 infinity upgrades, each costing some amount of IP (Infinity Points).

Break Infinity Upgrades
There are another 12 upgrades (plus one repeatable upgrade) unlocked after you break infinity, costing more IP:

Multiply IP gain by 2
This costs 10 IP at first, and goes up by 10x with ach purcahse (can be bought as many times as you want). It doubles all forms of IP gain, including from big crunches and from the relevant infinity upgrade.