56873377870848 has 2112 divisors, whose sum is σ = 220240168960000. Its totient is φ = 14176257638400.

The previous prime is 56873377870819. The next prime is 56873377870913. The reversal of 56873377870848 is 84807877337865.

56873377870848 is a `hidden beast` number, since 5 + 68 + 73 + 377 + 87 + 0 + 8 + 48 = 666.

56873377870848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-2 number, since 2×56873377870848² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 113974704903 + ... + 113974705401.

Almost surely, 2^{56873377870848} 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 56873377870848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110120084480000).

56873377870848 is an abundant number, since it is smaller than the sum of its proper divisors (163366791089152).

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

56873377870848 is a wasteful number, since it uses less digits than its factorization.

56873377870848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 710 counting only the distinct ones).

The product of its (nonzero) digits is 10621255680, while the sum is 81.

The spelling of 56873377870848 in words is "fifty-six trillion, eight hundred seventy-three billion, three hundred seventy-seven million, eight hundred seventy thousand, eight hundred forty-eight".