56131536518400 has 1296 divisors, whose sum is σ = 223951491187200. Its totient is φ = 12331907481600.

The previous prime is 56131536518383. The next prime is 56131536518401. The reversal of 56131536518400 is 481563513165.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56131536518400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56131536518401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4345548742 + ... + 4345561658.

Almost surely, 2^{56131536518400} is an apocalyptic number.

56131536518400 is a gapful number since it is divisible by the number (50) 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 56131536518400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111975745593600).

56131536518400 is an abundant number, since it is smaller than the sum of its proper divisors (167819954668800).

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

56131536518400 is a wasteful number, since it uses less digits than its factorization.

56131536518400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13140 (or 13114 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The spelling of 56131536518400 in words is "fifty-six trillion, one hundred thirty-one billion, five hundred thirty-six million, five hundred eighteen thousand, four hundred".