117102918240 has 960 divisors, whose sum is σ = 527428661760. Its totient is φ = 23758479360.

The previous prime is 117102918211. The next prime is 117102918271. The reversal of 117102918240 is 42819201711.

117102918240 is a `hidden beast` number, since 117 + 10 + 291 + 8 + 240 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 117102918195 and 117102918204.

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 159 ways as a sum of consecutive naturals, for example, 42909196 + ... + 42911924.

It is an arithmetic number, because the mean of its divisors is an integer number (549404856).

Almost surely, 2^117102918240 is an apocalyptic number.

117102918240 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 117102918240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263714330880).

117102918240 is an abundant number, since it is smaller than the sum of its proper divisors (410325743520).

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

117102918240 is a wasteful number, since it uses less digits than its factorization.

117102918240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 117102918240 in words is "one hundred seventeen billion, one hundred two million, nine hundred eighteen thousand, two hundred forty".