10685765576417 has 2 divisors, whose sum is σ = 10685765576418. Its totient is φ = 10685765576416.

The previous prime is 10685765576411. The next prime is 10685765576449. The reversal of 10685765576417 is 71467556758601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8744268899041 + 1941496677376 = 2957071^2 + 1393376^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10685765576417 is a prime.

It is a super-2 number, since 2×10685765576417² (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10685765576411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5342882788208 + 5342882788209.

It is an arithmetic number, because the mean of its divisors is an integer number (5342882788209).

Almost surely, 2^{10685765576417} is an apocalyptic number.

It is an amenable number.

10685765576417 is a deficient number, since it is larger than the sum of its proper divisors (1).

10685765576417 is an equidigital number, since it uses as much as digits as its factorization.

10685765576417 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 296352000, while the sum is 68.

The spelling of 10685765576417 in words is "ten trillion, six hundred eighty-five billion, seven hundred sixty-five million, five hundred seventy-six thousand, four hundred seventeen".