57642416148039 has 16 divisors (see below), whose sum is σ = 79676295588864. Its totient is φ = 37029047601600.

The previous prime is 57642416148013. The next prime is 57642416148049. The reversal of 57642416148039 is 93084161424675.

It is not a de Polignac number, because 57642416148039 - 2⁵ = 57642416148007 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57642416148049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1330044697 + ... + 1330088034.

It is an arithmetic number, because the mean of its divisors is an integer number (4979768474304).

It is a 2-persistent number, because it is pandigital, and so is 2⋅57642416148039 = 115284832296078, but 3⋅57642416148039 = 172927248444117 is not.

Almost surely, 2^{57642416148039} is an apocalyptic number.

57642416148039 is a deficient number, since it is larger than the sum of its proper divisors (22033879440825).

57642416148039 is a wasteful number, since it uses less digits than its factorization.

57642416148039 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660132998.

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 57642416148039 in words is "fifty-seven trillion, six hundred forty-two billion, four hundred sixteen million, one hundred forty-eight thousand, thirty-nine".