10117564799759 has 2 divisors, whose sum is σ = 10117564799760. Its totient is φ = 10117564799758.

The previous prime is 10117564799731. The next prime is 10117564799773. The reversal of 10117564799759 is 95799746571101.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10117564799759 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10117564799692 and 10117564799701.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10117564799789) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5058782399879 + 5058782399880.

It is an arithmetic number, because the mean of its divisors is an integer number (5058782399880).

Almost surely, 2^{10117564799759} is an apocalyptic number.

10117564799759 is a deficient number, since it is larger than the sum of its proper divisors (1).

10117564799759 is an equidigital number, since it uses as much as digits as its factorization.

10117564799759 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150028200, while the sum is 71.

The spelling of 10117564799759 in words is "ten trillion, one hundred seventeen billion, five hundred sixty-four million, seven hundred ninety-nine thousand, seven hundred fifty-nine".