56265331824 has 480 divisors, whose sum is σ = 184154880000. Its totient is φ = 15902853120.

The previous prime is 56265331823. The next prime is 56265331867. The reversal of 56265331824 is 42813356265.

56265331824 is a `hidden beast` number, since 5 + 626 + 5 + 3 + 3 + 18 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 56265331824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56265331823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112755927 + ... + 112756425.

It is an arithmetic number, because the mean of its divisors is an integer number (383656000).

Almost surely, 2^56265331824 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 56265331824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92077440000).

56265331824 is an abundant number, since it is smaller than the sum of its proper divisors (127889548176).

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

56265331824 is a wasteful number, since it uses less digits than its factorization.

56265331824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 644 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 56265331824 in words is "fifty-six billion, two hundred sixty-five million, three hundred thirty-one thousand, eight hundred twenty-four".