57668879268 has 972 divisors, whose sum is σ = 216027512064. Its totient is φ = 12676435200.

The previous prime is 57668879267. The next prime is 57668879273. The reversal of 57668879268 is 86297886675.

57668879268 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 57668879196 and 57668879205.

It is not an unprimeable number, because it can be changed into a prime (57668879267) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 1860286413 + ... + 1860286443.

Almost surely, 2^57668879268 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 57668879268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108013756032).

57668879268 is an abundant number, since it is smaller than the sum of its proper divisors (158358632796).

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

57668879268 is a wasteful number, since it uses less digits than its factorization.

57668879268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 86 counting only the distinct ones).

The product of its digits is 487710720, while the sum is 72.

The spelling of 57668879268 in words is "fifty-seven billion, six hundred sixty-eight million, eight hundred seventy-nine thousand, two hundred sixty-eight".