56428575840 has 1152 divisors, whose sum is σ = 253609574400. Its totient is φ = 11101224960.

The previous prime is 56428575767. The next prime is 56428575901. The reversal of 56428575840 is 4857582465.

56428575840 is a `hidden beast` number, since 5 + 6 + 4 + 2 + 8 + 57 + 584 + 0 = 666.

56428575840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 117804721 + ... + 117805199.

It is an arithmetic number, because the mean of its divisors is an integer number (220147200).

Almost surely, 2^56428575840 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 56428575840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126804787200).

56428575840 is an abundant number, since it is smaller than the sum of its proper divisors (197180998560).

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

56428575840 is a wasteful number, since it uses less digits than its factorization.

56428575840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 54.

The spelling of 56428575840 in words is "fifty-six billion, four hundred twenty-eight million, five hundred seventy-five thousand, eight hundred forty".