56207224800 has 432 divisors, whose sum is σ = 203859452160. Its totient is φ = 14565381120.

The previous prime is 56207224789. The next prime is 56207224819. The reversal of 56207224800 is 842270265.

56207224800 is a `hidden beast` number, since 5 + 620 + 7 + 2 + 24 + 8 + 0 + 0 = 666.

56207224800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 71 ways as a sum of consecutive naturals, for example, 55158691 + ... + 55159709.

It is an arithmetic number, because the mean of its divisors is an integer number (471896880).

Almost surely, 2^56207224800 is an apocalyptic number.

56207224800 is a gapful number since it is divisible by the number (50) 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 56207224800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101929726080).

56207224800 is an abundant number, since it is smaller than the sum of its proper divisors (147652227360).

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

56207224800 is a wasteful number, since it uses less digits than its factorization.

56207224800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 56207224800 in words is "fifty-six billion, two hundred seven million, two hundred twenty-four thousand, eight hundred".