56878115595840 has 2688 divisors, whose sum is σ = 267498956390400. Its totient is φ = 11105173094400.

The previous prime is 56878115595827. The next prime is 56878115595871. The reversal of 56878115595840 is 4859551187865.

56878115595840 is a `hidden beast` number, since 5 + 6 + 8 + 7 + 8 + 11 + 559 + 58 + 4 + 0 = 666.

56878115595840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 17658525430 + ... + 17658528650.

It is an arithmetic number, because the mean of its divisors is an integer number (99515980800).

Almost surely, 2^{56878115595840} 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 56878115595840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133749478195200).

56878115595840 is an abundant number, since it is smaller than the sum of its proper divisors (210620840794560).

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

56878115595840 is a wasteful number, since it uses less digits than its factorization.

56878115595840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3422 (or 3395 counting only the distinct ones).

The product of its (nonzero) digits is 483840000, while the sum is 72.

The spelling of 56878115595840 in words is "fifty-six trillion, eight hundred seventy-eight billion, one hundred fifteen million, five hundred ninety-five thousand, eight hundred forty".