22528915200 has 972 divisors, whose sum is σ = 93248109864. Its totient is φ = 5142528000.

The previous prime is 22528915183. The next prime is 22528915207. The reversal of 22528915200 is 251982522.

22528915200 is a `hidden beast` number, since 2 + 2 + 52 + 89 + 1 + 520 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22528915207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 608889582 + ... + 608889618.

Almost surely, 2^22528915200 is an apocalyptic number.

22528915200 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 22528915200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46624054932).

22528915200 is an abundant number, since it is smaller than the sum of its proper divisors (70719194664).

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

22528915200 is a wasteful number, since it uses less digits than its factorization.

22528915200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 22528915200 in words is "twenty-two billion, five hundred twenty-eight million, nine hundred fifteen thousand, two hundred".