117138415680 has 1680 divisors, whose sum is σ = 525341179440. Its totient is φ = 24670863360.

The previous prime is 117138415661. The next prime is 117138415739. The reversal of 117138415680 is 86514831711.

117138415680 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 3 + 84 + 1 + 568 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 72085806144 + 45052609536 = 268488^2 + 212256^2 .

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 (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 6890495032 + ... + 6890495048.

It is an arithmetic number, because the mean of its divisors is an integer number (312703083).

Almost surely, 2^117138415680 is an apocalyptic number.

117138415680 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 117138415680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262670589720).

117138415680 is an abundant number, since it is smaller than the sum of its proper divisors (408202763760).

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

117138415680 is a wasteful number, since it uses less digits than its factorization.

117138415680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 51 counting only the distinct ones).

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

The spelling of 117138415680 in words is "one hundred seventeen billion, one hundred thirty-eight million, four hundred fifteen thousand, six hundred eighty".