56100010016 has 96 divisors (see below), whose sum is σ = 115324534080. Its totient is φ = 26830720000.

The previous prime is 56100010009. The next prime is 56100010027. The reversal of 56100010016 is 61001000165.

It is a happy number.

It is a super-2 number, since 2×56100010016² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 56100010016.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52874126 + ... + 52875186.

It is an arithmetic number, because the mean of its divisors is an integer number (1201297230).

Almost surely, 2^56100010016 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 56100010016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57662267040).

56100010016 is an abundant number, since it is smaller than the sum of its proper divisors (59224524064).

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

56100010016 is a wasteful number, since it uses less digits than its factorization.

56100010016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1578 (or 1570 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 20.

The spelling of 56100010016 in words is "fifty-six billion, one hundred million, ten thousand, sixteen".