66075317257817 has 32 divisors (see below), whose sum is σ = 75793097502720. Its totient is φ = 56427597918720.

The previous prime is 66075317257793. The next prime is 66075317257909. The reversal of 66075317257817 is 71875271357066.

It is a happy number.

It is not a de Polignac number, because 66075317257817 - 2¹⁶ = 66075317192281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66075317557817) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6275549609 + ... + 6275560137.

It is an arithmetic number, because the mean of its divisors is an integer number (2368534296960).

Almost surely, 2^{66075317257817} is an apocalyptic number.

It is an amenable number.

66075317257817 is a deficient number, since it is larger than the sum of its proper divisors (9717780244903).

66075317257817 is a wasteful number, since it uses less digits than its factorization.

66075317257817 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13781.

The product of its (nonzero) digits is 103723200, while the sum is 65.

The spelling of 66075317257817 in words is "sixty-six trillion, seventy-five billion, three hundred seventeen million, two hundred fifty-seven thousand, eight hundred seventeen".