56518971600 has 360 divisors, whose sum is σ = 226811837280. Its totient is φ = 11924720640.

The previous prime is 56518971599. The next prime is 56518971637. The reversal of 56518971600 is 617981565.

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 56518971600.

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, 727431 + ... + 801369.

Almost surely, 2^56518971600 is an apocalyptic number.

56518971600 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 56518971600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113405918640).

56518971600 is an abundant number, since it is smaller than the sum of its proper divisors (170292865680).

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

56518971600 is a wasteful number, since it uses less digits than its factorization.

56518971600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73987 (or 73969 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 48.

The spelling of 56518971600 in words is "fifty-six billion, five hundred eighteen million, nine hundred seventy-one thousand, six hundred".