117251086680 has 1152 divisors, whose sum is σ = 512915457600. Its totient is φ = 23849054208.

The previous prime is 117251086669. The next prime is 117251086703. The reversal of 117251086680 is 86680152711.

117251086680 is a `hidden beast` number, since 1 + 1 + 72 + 510 + 8 + 6 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 179557234 + ... + 179557886.

Almost surely, 2^117251086680 is an apocalyptic number.

117251086680 is a gapful number since it is divisible by the number (10) 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 117251086680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256457728800).

117251086680 is an abundant number, since it is smaller than the sum of its proper divisors (395664370920).

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

117251086680 is a wasteful number, since it uses less digits than its factorization.

117251086680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 735 (or 712 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 117251086680 in words is "one hundred seventeen billion, two hundred fifty-one million, eighty-six thousand, six hundred eighty".