56241117504 has 840 divisors, whose sum is σ = 208460543200. Its totient is φ = 14903792640.

The previous prime is 56241117503. The next prime is 56241117509. The reversal of 56241117504 is 40571114265.

56241117504 is a `hidden beast` number, since 5 + 624 + 11 + 17 + 5 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56241117503) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2960058807 + ... + 2960058825.

Almost surely, 2^56241117504 is an apocalyptic number.

56241117504 is a gapful number since it is divisible by the number (54) 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 56241117504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104230271600).

56241117504 is an abundant number, since it is smaller than the sum of its proper divisors (152219425696).

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

56241117504 is an equidigital number, since it uses as much as digits as its factorization.

56241117504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 56241117504 in words is "fifty-six billion, two hundred forty-one million, one hundred seventeen thousand, five hundred four".