57506468433 has 32 divisors (see below), whose sum is σ = 79717220352. Its totient is φ = 36846532800.

The previous prime is 57506468423. The next prime is 57506468441. The reversal of 57506468433 is 33486460575.

It is a de Polignac number, because none of the positive numbers 2^k-57506468433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (57506468413) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 9167088 + ... + 9173358.

It is an arithmetic number, because the mean of its divisors is an integer number (2491163136).

Almost surely, 2^57506468433 is an apocalyptic number.

It is an amenable number.

57506468433 is a deficient number, since it is larger than the sum of its proper divisors (22210751919).

57506468433 is a wasteful number, since it uses less digits than its factorization.

57506468433 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7445.

The product of its (nonzero) digits is 7257600, while the sum is 51.

The spelling of 57506468433 in words is "fifty-seven billion, five hundred six million, four hundred sixty-eight thousand, four hundred thirty-three".