10117179360 has 144 divisors (see below), whose sum is σ = 35458166016. Its totient is φ = 2624984064.

The previous prime is 10117179353. The next prime is 10117179361. The reversal of 10117179360 is 6397171101.

10117179360 is a `hidden beast` number, since 10 + 117 + 179 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10117179361) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41664 + ... + 148223.

It is an arithmetic number, because the mean of its divisors is an integer number (246237264).

Almost surely, 2^10117179360 is an apocalyptic number.

10117179360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10117179360 is an abundant number, since it is smaller than the sum of its proper divisors (25340986656).

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

10117179360 is a wasteful number, since it uses less digits than its factorization.

10117179360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189945 (or 189934 counting only the distinct ones).

The product of its (nonzero) digits is 7938, while the sum is 36.

The spelling of 10117179360 in words is "ten billion, one hundred seventeen million, one hundred seventy-nine thousand, three hundred sixty".