56435817672 has 96 divisors (see below), whose sum is σ = 166234493880. Its totient is φ = 17192908800.

The previous prime is 56435817671. The next prime is 56435817731. The reversal of 56435817672 is 27671853465.

56435817672 is a `hidden beast` number, since 56 + 4 + 3 + 581 + 7 + 6 + 7 + 2 = 666.

56435817672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 53247408516 + 3188409156 = 230754^2 + 56466^2 .

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

It is not an unprimeable number, because it can be changed into a prime (56435817671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 203953 + ... + 393024.

Almost surely, 2^56435817672 is an apocalyptic number.

56435817672 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

56435817672 is an abundant number, since it is smaller than the sum of its proper divisors (109798676208).

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

56435817672 is a wasteful number, since it uses less digits than its factorization.

56435817672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 597103 (or 597096 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 56435817672 in words is "fifty-six billion, four hundred thirty-five million, eight hundred seventeen thousand, six hundred seventy-two".