56258959680 has 504 divisors, whose sum is σ = 243094190976. Its totient is φ = 11689666560.

The previous prime is 56258959661. The next prime is 56258959693. The reversal of 56258959680 is 8695985265.

56258959680 is a `hidden beast` number, since 562 + 5 + 8 + 9 + 5 + 9 + 68 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 2427829 + ... + 2450891.

It is an arithmetic number, because the mean of its divisors is an integer number (482329744).

Almost surely, 2^56258959680 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 56258959680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121547095488).

56258959680 is an abundant number, since it is smaller than the sum of its proper divisors (186835231296).

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

56258959680 is a wasteful number, since it uses less digits than its factorization.

56258959680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23115 (or 23091 counting only the distinct ones).

The product of its (nonzero) digits is 46656000, while the sum is 63.

The spelling of 56258959680 in words is "fifty-six billion, two hundred fifty-eight million, nine hundred fifty-nine thousand, six hundred eighty".