56475316800 has 336 divisors, whose sum is σ = 235285198720. Its totient is φ = 12908574720.

The previous prime is 56475316789. The next prime is 56475316801. The reversal of 56475316800 is 861357465.

56475316800 is a `hidden beast` number, since 56 + 4 + 7 + 531 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×56475316800² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (56475316801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209022 + ... + 395778.

Almost surely, 2^56475316800 is an apocalyptic number.

56475316800 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 56475316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117642599360).

56475316800 is an abundant number, since it is smaller than the sum of its proper divisors (178809881920).

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

56475316800 is a wasteful number, since it uses less digits than its factorization.

56475316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186795 (or 186774 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 56475316800 in words is "fifty-six billion, four hundred seventy-five million, three hundred sixteen thousand, eight hundred".