56459531520 has 1152 divisors, whose sum is σ = 243945676800. Its totient is φ = 12087263232.

The previous prime is 56459531519. The next prime is 56459531599. The reversal of 56459531520 is 2513595465.

56459531520 is a `hidden beast` number, since 5 + 6 + 4 + 5 + 95 + 31 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 406183611 + ... + 406183749.

It is an arithmetic number, because the mean of its divisors is an integer number (211758400).

Almost surely, 2^56459531520 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 56459531520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121972838400).

56459531520 is an abundant number, since it is smaller than the sum of its proper divisors (187486145280).

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

56459531520 is a wasteful number, since it uses less digits than its factorization.

56459531520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 56459531520 in words is "fifty-six billion, four hundred fifty-nine million, five hundred thirty-one thousand, five hundred twenty".