56364097435920 has 60 divisors (see below), whose sum is σ = 189289427224716. Its totient is φ = 15030425982720.

The previous prime is 56364097435909. The next prime is 56364097435939. The reversal of 56364097435920 is 2953479046365.

56364097435920 is a `hidden beast` number, since 5 + 6 + 36 + 4 + 0 + 9 + 7 + 4 + 3 + 592 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 28840895418384 + 27523202017536 = 5370372^2 + 5246256^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a super-2 number, since 2×56364097435920² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39141733611 + ... + 39141735050.

Almost surely, 2^{56364097435920} is an apocalyptic number.

It is an amenable number.

56364097435920 is an abundant number, since it is smaller than the sum of its proper divisors (132925329788796).

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

56364097435920 is a wasteful number, since it uses less digits than its factorization.

56364097435920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78283468680 (or 78283468671 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 63.

The spelling of 56364097435920 in words is "fifty-six trillion, three hundred sixty-four billion, ninety-seven million, four hundred thirty-five thousand, nine hundred twenty".