22992214772160 has 560 divisors, whose sum is σ = 83831533632000. Its totient is φ = 5978498512896.

The previous prime is 22992214772129. The next prime is 22992214772161. The reversal of 22992214772160 is 6127741229922.

22992214772160 is a `hidden beast` number, since 2 + 2 + 9 + 9 + 2 + 2 + 1 + 477 + 2 + 160 = 666.

It is a super-2 number, since 2×22992214772160² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 22992214772097 and 22992214772106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22992214772161) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 667604221 + ... + 667638659.

It is an arithmetic number, because the mean of its divisors is an integer number (149699167200).

Almost surely, 2^{22992214772160} is an apocalyptic number.

22992214772160 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 22992214772160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41915766816000).

22992214772160 is an abundant number, since it is smaller than the sum of its proper divisors (60839318859840).

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

22992214772160 is a wasteful number, since it uses less digits than its factorization.

22992214772160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35110 (or 35091 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 22992214772160 in words is "twenty-two trillion, nine hundred ninety-two billion, two hundred fourteen million, seven hundred seventy-two thousand, one hundred sixty".