56982524544 has 256 divisors, whose sum is σ = 185988758400. Its totient is φ = 17030062080.

The previous prime is 56982524537. The next prime is 56982524549. The reversal of 56982524544 is 44542528965.

56982524544 is a `hidden beast` number, since 5 + 6 + 98 + 2 + 5 + 2 + 4 + 544 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (56982524549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2764902 + ... + 2785434.

Almost surely, 2^56982524544 is an apocalyptic number.

56982524544 is a gapful number since it is divisible by the number (54) 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 56982524544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92994379200).

56982524544 is an abundant number, since it is smaller than the sum of its proper divisors (129006233856).

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

56982524544 is a wasteful number, since it uses less digits than its factorization.

56982524544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20640 (or 20622 counting only the distinct ones).

The product of its digits is 13824000, while the sum is 54.

The spelling of 56982524544 in words is "fifty-six billion, nine hundred eighty-two million, five hundred twenty-four thousand, five hundred forty-four".