22558972800 has 1536 divisors, whose sum is σ = 101993472000. Its totient is φ = 4335206400.

The previous prime is 22558972763. The next prime is 22558972819. The reversal of 22558972800 is 827985522.

It is a happy number.

It is a super-2 number, since 2×22558972800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 22558972800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 727708785 + ... + 727708815.

It is an arithmetic number, because the mean of its divisors is an integer number (66402000).

Almost surely, 2^22558972800 is an apocalyptic number.

22558972800 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 22558972800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50996736000).

22558972800 is an abundant number, since it is smaller than the sum of its proper divisors (79434499200).

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

22558972800 is a wasteful number, since it uses less digits than its factorization.

22558972800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The spelling of 22558972800 in words is "twenty-two billion, five hundred fifty-eight million, nine hundred seventy-two thousand, eight hundred".