22972572518400 has 2880 divisors, whose sum is σ = 97252365450240. Its totient is φ = 5325402931200.

The previous prime is 22972572518393. The next prime is 22972572518407. The reversal of 22972572518400 is 481527527922.

It is a happy number.

22972572518400 is a `hidden beast` number, since 2 + 2 + 9 + 72 + 57 + 2 + 518 + 4 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (22972572518393) and next prime (22972572518407).

It is a tau number, because it is divible by the number of its divisors (2880).

It is a super-2 number, since 2×22972572518400² (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 not an unprimeable number, because it can be changed into a prime (22972572518407) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 50268210972 + ... + 50268211428.

It is an arithmetic number, because the mean of its divisors is an integer number (33768182448).

Almost surely, 2^{22972572518400} is an apocalyptic number.

22972572518400 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 22972572518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48626182725120).

22972572518400 is an abundant number, since it is smaller than the sum of its proper divisors (74279792931840).

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

22972572518400 is a wasteful number, since it uses less digits than its factorization.

22972572518400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 572 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 22972572518400 in words is "twenty-two trillion, nine hundred seventy-two billion, five hundred seventy-two million, five hundred eighteen thousand, four hundred".