57725766752775 has 96 divisors (see below), whose sum is σ = 106942704371712. Its totient is φ = 27233412259200.

The previous prime is 57725766752767. The next prime is 57725766752807.

57725766752775 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57725766752775 - 2³ = 57725766752767 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 57725766752775.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 6236344 + ... + 12423506.

It is an arithmetic number, because the mean of its divisors is an integer number (1113986503872).

Almost surely, 2^{57725766752775} is an apocalyptic number.

57725766752775 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57725766752775 is a deficient number, since it is larger than the sum of its proper divisors (49216937618937).

57725766752775 is a wasteful number, since it uses less digits than its factorization.

57725766752775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6187493 (or 6187488 counting only the distinct ones).

The product of its digits is 10588410000, while the sum is 78.

The spelling of 57725766752775 in words is "fifty-seven trillion, seven hundred twenty-five billion, seven hundred sixty-six million, seven hundred fifty-two thousand, seven hundred seventy-five".