56105748972 has 144 divisors (see below), whose sum is σ = 175217602560. Its totient is φ = 14740631424.

The previous prime is 56105748953. The next prime is 56105748991. The reversal of 56105748972 is 27984750165.

56105748972 is a `hidden beast` number, since 5 + 61 + 0 + 574 + 8 + 9 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (56105748953) and next prime (56105748991).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 829029 + ... + 894147.

Almost surely, 2^56105748972 is an apocalyptic number.

56105748972 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56105748972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87608801280).

56105748972 is an abundant number, since it is smaller than the sum of its proper divisors (119111853588).

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

56105748972 is a wasteful number, since it uses less digits than its factorization.

56105748972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65412 (or 65407 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 56105748972 in words is "fifty-six billion, one hundred five million, seven hundred forty-eight thousand, nine hundred seventy-two".