57759455495775 has 48 divisors (see below), whose sum is σ = 104177842691328. Its totient is φ = 28004372544000.

The previous prime is 57759455495759. The next prime is 57759455495779.

57759455495775 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 57759455495775 - 2⁴ = 57759455495759 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57759455495779) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207563782 + ... + 207841868.

It is an arithmetic number, because the mean of its divisors is an integer number (2170371722736).

Almost surely, 2^{57759455495775} is an apocalyptic number.

57759455495775 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

57759455495775 is a deficient number, since it is larger than the sum of its proper divisors (46418387195553).

57759455495775 is a wasteful number, since it uses less digits than its factorization.

57759455495775 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529872 (or 529867 counting only the distinct ones).

The product of its digits is 48620250000, while the sum is 84.

The spelling of 57759455495775 in words is "fifty-seven trillion, seven hundred fifty-nine billion, four hundred fifty-five million, four hundred ninety-five thousand, seven hundred seventy-five".