57669999996675 has 96 divisors (see below), whose sum is σ = 106240245617664. Its totient is φ = 27363346560000.

The previous prime is 57669999996641. The next prime is 57669999996733.

57669999996675 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57669999996675 - 2¹⁴ = 57669999980291 is a prime.

It is a super-2 number, since 2×57669999996675² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 57669999996675.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 383836167 + ... + 383986383.

It is an arithmetic number, because the mean of its divisors is an integer number (1106669225184).

Almost surely, 2^{57669999996675} is an apocalyptic number.

57669999996675 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57669999996675 is a deficient number, since it is larger than the sum of its proper divisors (48570245620989).

57669999996675 is a wasteful number, since it uses less digits than its factorization.

57669999996675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160189 (or 160184 counting only the distinct ones).

The product of its digits is 843715731600, while the sum is 102.

The spelling of 57669999996675 in words is "fifty-seven trillion, six hundred sixty-nine billion, nine hundred ninety-nine million, nine hundred ninety-six thousand, six hundred seventy-five".