10117918512 has 120 divisors (see below), whose sum is σ = 30524754624. Its totient is φ = 3110095872.

The previous prime is 10117918507. The next prime is 10117918553. The reversal of 10117918512 is 21581971101.

10117918512 is a `hidden beast` number, since 10 + 117 + 9 + 18 + 512 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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, 2482108 + ... + 2486180.

Almost surely, 2^10117918512 is an apocalyptic number.

10117918512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10117918512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15262377312).

10117918512 is an abundant number, since it is smaller than the sum of its proper divisors (20406836112).

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

10117918512 is a wasteful number, since it uses less digits than its factorization.

10117918512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5427 (or 5418 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 36.

The spelling of 10117918512 in words is "ten billion, one hundred seventeen million, nine hundred eighteen thousand, five hundred twelve".