57171235968 has 896 divisors, whose sum is σ = 217799049600. Its totient is φ = 14511882240.

The previous prime is 57171235963. The next prime is 57171235969. The reversal of 57171235968 is 86953217175.

57171235968 is a `hidden beast` number, since 571 + 7 + 1 + 2 + 3 + 5 + 9 + 68 = 666.

57171235968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (57171235963) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 524506698 + ... + 524506806.

Almost surely, 2^57171235968 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 57171235968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108899524800).

57171235968 is an abundant number, since it is smaller than the sum of its proper divisors (160627813632).

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

57171235968 is a wasteful number, since it uses less digits than its factorization.

57171235968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 205 counting only the distinct ones).

The product of its digits is 3175200, while the sum is 54.

The spelling of 57171235968 in words is "fifty-seven billion, one hundred seventy-one million, two hundred thirty-five thousand, nine hundred sixty-eight".