57086744768075 has 72 divisors (see below), whose sum is σ = 78621312382704. Its totient is φ = 41085746380800.

The previous prime is 57086744768017. The next prime is 57086744768189.

It is a happy number.

57086744768075 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57086744768075 - 2²⁸ = 57086476332619 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 57086744767993 and 57086744768011.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 114638027 + ... + 115134923.

It is an arithmetic number, because the mean of its divisors is an integer number (1091962671982).

Almost surely, 2^{57086744768075} is an apocalyptic number.

57086744768075 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57086744768075 is a deficient number, since it is larger than the sum of its proper divisors (21534567614629).

57086744768075 is a wasteful number, since it uses less digits than its factorization.

57086744768075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497325 (or 497309 counting only the distinct ones).

The product of its (nonzero) digits is 2212761600, while the sum is 74.

The spelling of 57086744768075 in words is "fifty-seven trillion, eighty-six billion, seven hundred forty-four million, seven hundred sixty-eight thousand, seventy-five".