56475014400 has 1080 divisors, whose sum is σ = 242891953920. Its totient is φ = 12680478720.

The previous prime is 56475014369. The next prime is 56475014437. The reversal of 56475014400 is 441057465.

56475014400 is a `hidden beast` number, since 5 + 647 + 5 + 0 + 1 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 286675102 + ... + 286675298.

Almost surely, 2^56475014400 is an apocalyptic number.

56475014400 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 56475014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121445976960).

56475014400 is an abundant number, since it is smaller than the sum of its proper divisors (186416939520).

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

56475014400 is a wasteful number, since it uses less digits than its factorization.

56475014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 56475014400 in words is "fifty-six billion, four hundred seventy-five million, fourteen thousand, four hundred".