56167077957144 has 256 divisors, whose sum is σ = 182502775848960. Its totient is φ = 13978457280000.

The previous prime is 56167077957127. The next prime is 56167077957173. The reversal of 56167077957144 is 44175977076165.

56167077957144 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 63 ways as a sum of consecutive naturals, for example, 932457 + ... + 10639719.

It is an arithmetic number, because the mean of its divisors is an integer number (712901468160).

Almost surely, 2^{56167077957144} 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 56167077957144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91251387924480).

56167077957144 is an abundant number, since it is smaller than the sum of its proper divisors (126335697891816).

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

56167077957144 is a wasteful number, since it uses less digits than its factorization.

56167077957144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9707422 (or 9707418 counting only the distinct ones).

The product of its (nonzero) digits is 311169600, while the sum is 69.

The spelling of 56167077957144 in words is "fifty-six trillion, one hundred sixty-seven billion, seventy-seven million, nine hundred fifty-seven thousand, one hundred forty-four".