22553164800 has 528 divisors, whose sum is σ = 84230283520. Its totient is φ = 5912248320.

The previous prime is 22553164789. The next prime is 22553164819. The reversal of 22553164800 is 846135522.

22553164800 is a `hidden beast` number, since 2 + 2 + 5 + 5 + 3 + 1 + 648 + 0 + 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 46310157 + ... + 46310643.

Almost surely, 2^22553164800 is an apocalyptic number.

22553164800 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 22553164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42115141760).

22553164800 is an abundant number, since it is smaller than the sum of its proper divisors (61677118720).

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

22553164800 is a wasteful number, since it uses less digits than its factorization.

22553164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 593 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 22553164800 in words is "twenty-two billion, five hundred fifty-three million, one hundred sixty-four thousand, eight hundred".