57968932895312 has 80 divisors (see below), whose sum is σ = 123031367162640. Its totient is φ = 26336885170176.

The previous prime is 57968932895207. The next prime is 57968932895327. The reversal of 57968932895312 is 21359823986975.

57968932895312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 9714292634176 + 48254640261136 = 3116776^2 + 6946556^2 .

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 15 ways as a sum of consecutive naturals, for example, 109639778 + ... + 110167230.

It is an arithmetic number, because the mean of its divisors is an integer number (1537892089533).

Almost surely, 2^{57968932895312} 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 57968932895312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61515683581320).

57968932895312 is an abundant number, since it is smaller than the sum of its proper divisors (65062434267328).

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

57968932895312 is a wasteful number, since it uses less digits than its factorization.

57968932895312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541440 (or 541434 counting only the distinct ones).

The product of its digits is 1763596800, while the sum is 77.

The spelling of 57968932895312 in words is "fifty-seven trillion, nine hundred sixty-eight billion, nine hundred thirty-two million, eight hundred ninety-five thousand, three hundred twelve".