56105147392308 has 1152 divisors, whose sum is σ = 182334534287360. Its totient is φ = 14189395968000.

The previous prime is 56105147392249. The next prime is 56105147392363. The reversal of 56105147392308 is 80329374150165.

It is a happy number.

56105147392308 is a `hidden beast` number, since 5 + 6 + 1 + 0 + 51 + 473 + 92 + 30 + 8 = 666.

56105147392308 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 169501955703 + ... + 169501956033.

It is a 1-persistent number, because it is pandigital, but 2⋅56105147392308 = 112210294784616 is not.

Almost surely, 2^{56105147392308} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56105147392308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91167267143680).

56105147392308 is an abundant number, since it is smaller than the sum of its proper divisors (126229386895052).

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

56105147392308 is a wasteful number, since it uses less digits than its factorization.

56105147392308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 56105147392308 in words is "fifty-six trillion, one hundred five billion, one hundred forty-seven million, three hundred ninety-two thousand, three hundred eight".