56838627745296 has 160 divisors (see below), whose sum is σ = 152606511129600. Its totient is φ = 18209649100800.

The previous prime is 56838627745243. The next prime is 56838627745297. The reversal of 56838627745296 is 69254772683865.

56838627745296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (56838627745297) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2805311806 + ... + 2805332066.

It is an arithmetic number, because the mean of its divisors is an integer number (953790694560).

Almost surely, 2^{56838627745296} 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 56838627745296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76303255564800).

56838627745296 is an abundant number, since it is smaller than the sum of its proper divisors (95767883384304).

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

56838627745296 is a wasteful number, since it uses less digits than its factorization.

56838627745296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33105 (or 33099 counting only the distinct ones).

The product of its digits is 7315660800, while the sum is 78.

The spelling of 56838627745296 in words is "fifty-six trillion, eight hundred thirty-eight billion, six hundred twenty-seven million, seven hundred forty-five thousand, two hundred ninety-six".