56376048960 has 840 divisors, whose sum is σ = 245047495680. Its totient is φ = 11653171200.

The previous prime is 56376048947. The next prime is 56376048977. The reversal of 56376048960 is 6984067365.

56376048960 is a `hidden beast` number, since 563 + 76 + 0 + 4 + 8 + 9 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (840).

It is a junction number, because it is equal to n+sod(n) for n = 56376048897 and 56376048906.

It is a congruent number.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 295162465 + ... + 295162655.

Almost surely, 2^56376048960 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 56376048960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122523747840).

56376048960 is an abundant number, since it is smaller than the sum of its proper divisors (188671446720).

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

56376048960 is a wasteful number, since it uses less digits than its factorization.

56376048960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 56376048960 in words is "fifty-six billion, three hundred seventy-six million, forty-eight thousand, nine hundred sixty".