56151763200 has 1296 divisors, whose sum is σ = 232490119680. Its totient is φ = 12828672000.

The previous prime is 56151763153. The next prime is 56151763313. The reversal of 56151763200 is 236715165.

56151763200 is a `hidden beast` number, since 5 + 6 + 1 + 5 + 17 + 632 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 951724771 + ... + 951724829.

Almost surely, 2^56151763200 is an apocalyptic number.

56151763200 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 56151763200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116245059840).

56151763200 is an abundant number, since it is smaller than the sum of its proper divisors (176338356480).

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

56151763200 is a wasteful number, since it uses less digits than its factorization.

56151763200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The spelling of 56151763200 in words is "fifty-six billion, one hundred fifty-one million, seven hundred sixty-three thousand, two hundred".