56979760674816 has 288 divisors, whose sum is σ = 188182922709600. Its totient is φ = 16270825881600.

The previous prime is 56979760674763. The next prime is 56979760674833. The reversal of 56979760674816 is 61847606797965.

56979760674816 is a `hidden beast` number, since 5 + 6 + 9 + 7 + 9 + 76 + 0 + 67 + 481 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 232249620 + ... + 232494828.

It is an arithmetic number, because the mean of its divisors is an integer number (653412926075).

Almost surely, 2^{56979760674816} is an apocalyptic number.

56979760674816 is a gapful number since it is divisible by the number (56) 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 56979760674816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94091461354800).

56979760674816 is an abundant number, since it is smaller than the sum of its proper divisors (131203162034784).

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

56979760674816 is a wasteful number, since it uses less digits than its factorization.

56979760674816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247045 (or 247022 counting only the distinct ones).

The product of its (nonzero) digits is 5761082880, while the sum is 81.

The spelling of 56979760674816 in words is "fifty-six trillion, nine hundred seventy-nine billion, seven hundred sixty million, six hundred seventy-four thousand, eight hundred sixteen".