57075852384 has 72 divisors (see below), whose sum is σ = 162601311600. Its totient is φ = 18991074048.

The previous prime is 57075852341. The next prime is 57075852391. The reversal of 57075852384 is 48325857075.

57075852384 is a `hidden beast` number, since 57 + 0 + 7 + 585 + 2 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 57075852384.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17484 + ... + 338315.

It is an arithmetic number, because the mean of its divisors is an integer number (2258351550).

Almost surely, 2^57075852384 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 57075852384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81300655800).

57075852384 is an abundant number, since it is smaller than the sum of its proper divisors (105525459216).

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

57075852384 is a wasteful number, since it uses less digits than its factorization.

57075852384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356372 (or 356361 counting only the distinct ones).

The product of its (nonzero) digits is 9408000, while the sum is 54.

The spelling of 57075852384 in words is "fifty-seven billion, seventy-five million, eight hundred fifty-two thousand, three hundred eighty-four".