56265672960 has 648 divisors, whose sum is σ = 227917609920. Its totient is φ = 12778020864.

The previous prime is 56265672959. The next prime is 56265673003. The reversal of 56265672960 is 6927656265.

56265672960 is a `hidden beast` number, since 5 + 626 + 5 + 6 + 7 + 2 + 9 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 56265672897 and 56265672906.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 148458051 + ... + 148458429.

Almost surely, 2^56265672960 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 56265672960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113958804960).

56265672960 is an abundant number, since it is smaller than the sum of its proper divisors (171651936960).

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

56265672960 is a wasteful number, since it uses less digits than its factorization.

56265672960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 56265672960 in words is "fifty-six billion, two hundred sixty-five million, six hundred seventy-two thousand, nine hundred sixty".