57724623117 has 144 divisors (see below), whose sum is σ = 101880979200. Its totient is φ = 31374604800.

The previous prime is 57724623109. The next prime is 57724623133. The reversal of 57724623117 is 71132642775.

57724623117 is a `hidden beast` number, since 5 + 7 + 7 + 2 + 4 + 623 + 1 + 17 = 666.

It is not a de Polignac number, because 57724623117 - 2³ = 57724623109 is a prime.

It is a super-2 number, since 2×57724623117² (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 (57724623107) 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 143 ways as a sum of consecutive naturals, for example, 219485128 + ... + 219485390.

It is an arithmetic number, because the mean of its divisors is an integer number (707506800).

Almost surely, 2^57724623117 is an apocalyptic number.

It is an amenable number.

57724623117 is a deficient number, since it is larger than the sum of its proper divisors (44156356083).

57724623117 is a wasteful number, since it uses less digits than its factorization.

57724623117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 574 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The spelling of 57724623117 in words is "fifty-seven billion, seven hundred twenty-four million, six hundred twenty-three thousand, one hundred seventeen".