56121817506138 has 192 divisors, whose sum is σ = 134561475659520. Its totient is φ = 16814580811776.

The previous prime is 56121817506113. The next prime is 56121817506199. The reversal of 56121817506138 is 83160571812165.

56121817506138 is a `hidden beast` number, since 5 + 6 + 1 + 2 + 1 + 8 + 17 + 5 + 0 + 613 + 8 = 666.

56121817506138 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 21948304356 + ... + 21948306912.

It is an arithmetic number, because the mean of its divisors is an integer number (700841019060).

Almost surely, 2^{56121817506138} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56121817506138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67280737829760).

56121817506138 is an abundant number, since it is smaller than the sum of its proper divisors (78439658153382).

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

56121817506138 is a wasteful number, since it uses less digits than its factorization.

56121817506138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6341 (or 6338 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 56121817506138 in words is "fifty-six trillion, one hundred twenty-one billion, eight hundred seventeen million, five hundred six thousand, one hundred thirty-eight".