57133712430 has 96 divisors (see below), whose sum is σ = 152841315744. Its totient is φ = 14796787968.

The previous prime is 57133712417. The next prime is 57133712437. The reversal of 57133712430 is 3421733175.

57133712430 is a `hidden beast` number, since 571 + 3 + 37 + 1 + 24 + 30 = 666.

It is a super-2 number, since 2×57133712430² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57133712437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1839409 + ... + 1870211.

It is an arithmetic number, because the mean of its divisors is an integer number (1592097039).

Almost surely, 2^57133712430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57133712430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76420657872).

57133712430 is an abundant number, since it is smaller than the sum of its proper divisors (95707603314).

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

57133712430 is a wasteful number, since it uses less digits than its factorization.

57133712430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31410 (or 31407 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The spelling of 57133712430 in words is "fifty-seven billion, one hundred thirty-three million, seven hundred twelve thousand, four hundred thirty".