22868527772160 has 800 divisors, whose sum is σ = 93656523134592. Its totient is φ = 5224436858880.

The previous prime is 22868527772159. The next prime is 22868527772177. The reversal of 22868527772160 is 6127772586822.

22868527772160 is a `hidden beast` number, since 2 + 2 + 86 + 8 + 527 + 7 + 7 + 21 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5067254064 + ... + 5067258576.

Almost surely, 2^{22868527772160} is an apocalyptic number.

22868527772160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22868527772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46828261567296).

22868527772160 is an abundant number, since it is smaller than the sum of its proper divisors (70787995362432).

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

22868527772160 is an equidigital number, since it uses as much as digits as its factorization.

22868527772160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8046 (or 8021 counting only the distinct ones).

The product of its (nonzero) digits is 63221760, while the sum is 63.

The spelling of 22868527772160 in words is "twenty-two trillion, eight hundred sixty-eight billion, five hundred twenty-seven million, seven hundred seventy-two thousand, one hundred sixty".