57695948352 has 224 divisors, whose sum is σ = 194194176000. Its totient is φ = 16454969856.

The previous prime is 57695948309. The next prime is 57695948353. The reversal of 57695948352 is 25384959675.

57695948352 is a `hidden beast` number, since 5 + 7 + 6 + 9 + 594 + 8 + 35 + 2 = 666.

57695948352 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 (224).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 57695948352.

It is not an unprimeable number, because it can be changed into a prime (57695948353) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7241523 + ... + 7249485.

Almost surely, 2^57695948352 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 57695948352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97097088000).

57695948352 is an abundant number, since it is smaller than the sum of its proper divisors (136498227648).

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

57695948352 is a wasteful number, since it uses less digits than its factorization.

57695948352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8590 (or 8574 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 63.

The spelling of 57695948352 in words is "fifty-seven billion, six hundred ninety-five million, nine hundred forty-eight thousand, three hundred fifty-two".