10117564799768 has 32 divisors (see below), whose sum is σ = 19122241881600. Its totient is φ = 5018461263648.

The previous prime is 10117564799759. The next prime is 10117564799773. The reversal of 10117564799768 is 86799746571101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9557246 + ... + 10562957.

It is an arithmetic number, because the mean of its divisors is an integer number (597570058800).

Almost surely, 2^{10117564799768} is an apocalyptic number.

It is an amenable number.

10117564799768 is a deficient number, since it is larger than the sum of its proper divisors (9004677081832).

10117564799768 is a wasteful number, since it uses less digits than its factorization.

10117564799768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20120711 (or 20120707 counting only the distinct ones).

The product of its (nonzero) digits is 160030080, while the sum is 71.

The spelling of 10117564799768 in words is "ten trillion, one hundred seventeen billion, five hundred sixty-four million, seven hundred ninety-nine thousand, seven hundred sixty-eight".