56249008128 has 360 divisors, whose sum is σ = 181259179920. Its totient is φ = 16703815680.

The previous prime is 56249008093. The next prime is 56249008139. The reversal of 56249008128 is 82180094265.

56249008128 is a `hidden beast` number, since 5 + 62 + 490 + 0 + 81 + 28 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 47627698 + ... + 47628878.

It is an arithmetic number, because the mean of its divisors is an integer number (503497722).

Almost surely, 2^56249008128 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 56249008128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90629589960).

56249008128 is an abundant number, since it is smaller than the sum of its proper divisors (125010171792).

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

56249008128 is a wasteful number, since it uses less digits than its factorization.

56249008128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1251 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 56249008128 in words is "fifty-six billion, two hundred forty-nine million, eight thousand, one hundred twenty-eight".