75659799795657 has 48 divisors (see below), whose sum is σ = 126726702305280. Its totient is φ = 39303249844320.

The previous prime is 75659799795641. The next prime is 75659799795677.

75659799795657 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 75659799795657 - 2⁴ = 75659799795641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (75659799795677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 238652394 + ... + 238969212.

It is an arithmetic number, because the mean of its divisors is an integer number (2640139631360).

Almost surely, 2^{75659799795657} is an apocalyptic number.

75659799795657 is a gapful number since it is divisible by the number (77) formed by its first and last digit.

It is an amenable number.

75659799795657 is a deficient number, since it is larger than the sum of its proper divisors (51066902509623).

75659799795657 is a wasteful number, since it uses less digits than its factorization.

75659799795657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410834 (or 410823 counting only the distinct ones).

The product of its digits is 354441622500, while the sum is 96.

The spelling of 75659799795657 in words is "seventy-five trillion, six hundred fifty-nine billion, seven hundred ninety-nine million, seven hundred ninety-five thousand, six hundred fifty-seven".