22160804805216 has 1152 divisors, whose sum is σ = 86117116280832. Its totient is φ = 5227960320000.

The previous prime is 22160804805163. The next prime is 22160804805229. The reversal of 22160804805216 is 61250840806122.

22160804805216 is a `hidden beast` number, since 2 + 2 + 1 + 6 + 0 + 80 + 48 + 0 + 521 + 6 = 666.

It is a super-2 number, since 2×22160804805216² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4476023541 + ... + 4476028491.

It is an arithmetic number, because the mean of its divisors is an integer number (74754441216).

Almost surely, 2^{22160804805216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22160804805216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43058558140416).

22160804805216 is an abundant number, since it is smaller than the sum of its proper divisors (63956311475616).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22160804805216 is a wasteful number, since it uses less digits than its factorization.

22160804805216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5416 (or 5405 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 22160804805216 in words is "twenty-two trillion, one hundred sixty billion, eight hundred four million, eight hundred five thousand, two hundred sixteen".