57759688695775 has 12 divisors (see below), whose sum is σ = 78133106163384. Its totient is φ = 42007046324000.

The previous prime is 57759688695743. The next prime is 57759688695791.

57759688695775 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57759688695775 - 2⁵ = 57759688695743 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 105017615536 + ... + 105017616085.

It is an arithmetic number, because the mean of its divisors is an integer number (6511092180282).

Almost surely, 2^{57759688695775} is an apocalyptic number.

57759688695775 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57759688695775 is a deficient number, since it is larger than the sum of its proper divisors (20373417467609).

57759688695775 is a wasteful number, since it uses less digits than its factorization.

57759688695775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210035231642 (or 210035231637 counting only the distinct ones).

The product of its digits is 280052640000, while the sum is 94.

The spelling of 57759688695775 in words is "fifty-seven trillion, seven hundred fifty-nine billion, six hundred eighty-eight million, six hundred ninety-five thousand, seven hundred seventy-five".