56560982400 has 768 divisors, whose sum is σ = 229113460800. Its totient is φ = 13536460800.

The previous prime is 56560982399. The next prime is 56560982407. The reversal of 56560982400 is 428906565.

56560982400 is a `hidden beast` number, since 5 + 6 + 560 + 9 + 82 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56560982407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41557720 + ... + 41559080.

Almost surely, 2^56560982400 is an apocalyptic number.

56560982400 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 56560982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114556730400).

56560982400 is an abundant number, since it is smaller than the sum of its proper divisors (172552478400).

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

56560982400 is a wasteful number, since it uses less digits than its factorization.

56560982400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 56560982400 in words is "fifty-six billion, five hundred sixty million, nine hundred eighty-two thousand, four hundred".