56185553948832 has 144 divisors (see below), whose sum is σ = 199203327715392. Its totient is φ = 14593650370560.

The previous prime is 56185553948827. The next prime is 56185553948861. The reversal of 56185553948832 is 23884935558165.

56185553948832 is a `hidden beast` number, since 5 + 6 + 1 + 8 + 5 + 5 + 539 + 4 + 8 + 83 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×56185553948832² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1266787753 + ... + 1266832104.

It is an arithmetic number, because the mean of its divisors is an integer number (1383356442468).

Almost surely, 2^{56185553948832} is an apocalyptic number.

It is an amenable number.

56185553948832 is an abundant number, since it is smaller than the sum of its proper divisors (143017773766560).

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

56185553948832 is a wasteful number, since it uses less digits than its factorization.

56185553948832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2533619891 (or 2533619880 counting only the distinct ones).

The product of its digits is 1244160000, while the sum is 72.

The spelling of 56185553948832 in words is "fifty-six trillion, one hundred eighty-five billion, five hundred fifty-three million, nine hundred forty-eight thousand, eight hundred thirty-two".