56131406614500 has 288 divisors, whose sum is σ = 190327980286080. Its totient is φ = 12817427884800.

The previous prime is 56131406614489. The next prime is 56131406614523. The reversal of 56131406614500 is 541660413165.

56131406614500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56131406614500² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74521774 + ... + 75271226.

It is an arithmetic number, because the mean of its divisors is an integer number (660861042660).

Almost surely, 2^{56131406614500} is an apocalyptic number.

56131406614500 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 56131406614500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95163990143040).

56131406614500 is an abundant number, since it is smaller than the sum of its proper divisors (134196573671580).

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

56131406614500 is a wasteful number, since it uses less digits than its factorization.

56131406614500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750508 (or 750489 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 56131406614500 in words is "fifty-six trillion, one hundred thirty-one billion, four hundred six million, six hundred fourteen thousand, five hundred".