56081973024 has 768 divisors, whose sum is σ = 214035333120. Its totient is φ = 13862016000.

The previous prime is 56081973001. The next prime is 56081973049. The reversal of 56081973024 is 42037918065.

56081973024 is a `hidden beast` number, since 5 + 608 + 1 + 9 + 7 + 30 + 2 + 4 = 666.

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, 146427937 + ... + 146428319.

It is an arithmetic number, because the mean of its divisors is an integer number (278691840).

It is a 1-persistent number, because it is pandigital, but 2⋅56081973024 = 112163946048 is not.

Almost surely, 2^56081973024 is an apocalyptic number.

56081973024 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 56081973024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107017666560).

56081973024 is an abundant number, since it is smaller than the sum of its proper divisors (157953360096).

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

56081973024 is a wasteful number, since it uses less digits than its factorization.

56081973024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 56081973024 in words is "fifty-six billion, eighty-one million, nine hundred seventy-three thousand, twenty-four".