56529264960 has 1344 divisors, whose sum is σ = 251628249600. Its totient is φ = 11784683520.

The previous prime is 56529264959. The next prime is 56529264983. The reversal of 56529264960 is 6946292565.

56529264960 is a `hidden beast` number, since 5 + 6 + 529 + 26 + 4 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a junction number, because it is equal to n+sod(n) for n = 56529264897 and 56529264906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 379390966 + ... + 379391114.

It is an arithmetic number, because the mean of its divisors is an integer number (187223400).

Almost surely, 2^56529264960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56529264960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125814124800).

56529264960 is an abundant number, since it is smaller than the sum of its proper divisors (195098984640).

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

56529264960 is a wasteful number, since it uses less digits than its factorization.

56529264960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

It can be divided in two parts, 56529 and 264960, that added together give a square (321489 = 567²).

The spelling of 56529264960 in words is "fifty-six billion, five hundred twenty-nine million, two hundred sixty-four thousand, nine hundred sixty".