56509515972 has 288 divisors, whose sum is σ = 189462819840. Its totient is φ = 14422302720.

The previous prime is 56509515947. The next prime is 56509515989. The reversal of 56509515972 is 27951590565.

56509515972 is a `hidden beast` number, since 5 + 6 + 50 + 9 + 515 + 9 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2119428 + ... + 2145924.

Almost surely, 2^56509515972 is an apocalyptic number.

56509515972 is a gapful number since it is divisible by the number (52) 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 56509515972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94731409920).

56509515972 is an abundant number, since it is smaller than the sum of its proper divisors (132953303868).

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

56509515972 is a wasteful number, since it uses less digits than its factorization.

56509515972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26568 (or 26553 counting only the distinct ones).

The product of its (nonzero) digits is 4252500, while the sum is 54.

The spelling of 56509515972 in words is "fifty-six billion, five hundred nine million, five hundred fifteen thousand, nine hundred seventy-two".