57838666683875 has 64 divisors (see below), whose sum is σ = 90207729451008. Its totient is φ = 35969628240000.

The previous prime is 57838666683857. The next prime is 57838666683929.

It is a happy number.

57838666683875 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57838666683875 - 2²⁶ = 57838599575011 is a prime.

It is a super-2 number, since 2×57838666683875² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3084707 + ... + 11188956.

It is an arithmetic number, because the mean of its divisors is an integer number (1409495772672).

Almost surely, 2^{57838666683875} is an apocalyptic number.

57838666683875 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57838666683875 is a deficient number, since it is larger than the sum of its proper divisors (32369062767133).

57838666683875 is a wasteful number, since it uses less digits than its factorization.

57838666683875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14274117 (or 14274107 counting only the distinct ones).

The product of its digits is 58525286400, while the sum is 86.

The spelling of 57838666683875 in words is "fifty-seven trillion, eight hundred thirty-eight billion, six hundred sixty-six million, six hundred eighty-three thousand, eight hundred seventy-five".