22572725011200 has 1296 divisors, whose sum is σ = 105169396602816. Its totient is φ = 4482426470400.

The previous prime is 22572725011181. The next prime is 22572725011231. The reversal of 22572725011200 is 211052727522.

22572725011200 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 27 + 2 + 501 + 120 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 88980540 + ... + 89233860.

Almost surely, 2^{22572725011200} is an apocalyptic number.

22572725011200 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 22572725011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52584698301408).

22572725011200 is an abundant number, since it is smaller than the sum of its proper divisors (82596671591616).

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

22572725011200 is a wasteful number, since it uses less digits than its factorization.

22572725011200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253390 (or 253368 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

Adding to 22572725011200 its reverse (211052727522), we get a palindrome (22783777738722).

The spelling of 22572725011200 in words is "twenty-two trillion, five hundred seventy-two billion, seven hundred twenty-five million, eleven thousand, two hundred".