10117564799760 has 120 divisors (see below), whose sum is σ = 37067078340864. Its totient is φ = 2452742979840.

The previous prime is 10117564799759. The next prime is 10117564799773. The reversal of 10117564799760 is 6799746571101.

10117564799760 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 7 + 564 + 7 + 9 + 9 + 7 + 60 = 666.

10117564799760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 638727232 + ... + 638743071.

Almost surely, 2^{10117564799760} is an apocalyptic number.

10117564799760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10117564799760 is an abundant number, since it is smaller than the sum of its proper divisors (26949513541104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10117564799760 is a wasteful number, since it uses less digits than its factorization.

10117564799760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1277470333 (or 1277470324 counting only the distinct ones).

The product of its (nonzero) digits is 20003760, while the sum is 63.

The spelling of 10117564799760 in words is "ten trillion, one hundred seventeen billion, five hundred sixty-four million, seven hundred ninety-nine thousand, seven hundred sixty".