56552588400 has 240 divisors, whose sum is σ = 225858187008. Its totient is φ = 11751168000.

The previous prime is 56552588387. The next prime is 56552588423. The reversal of 56552588400 is 488525565.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 56552588400.

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, 213621 + ... + 398420.

Almost surely, 2^56552588400 is an apocalyptic number.

56552588400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

56552588400 is an abundant number, since it is smaller than the sum of its proper divisors (169305598608).

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

56552588400 is a wasteful number, since it uses less digits than its factorization.

56552588400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 612080 (or 612069 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 48.

The spelling of 56552588400 in words is "fifty-six billion, five hundred fifty-two million, five hundred eighty-eight thousand, four hundred".