117084313920 has 224 divisors, whose sum is σ = 425086857216. Its totient is φ = 26747136000.

The previous prime is 117084313919. The next prime is 117084313961. The reversal of 117084313920 is 29313480711.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×117084313920² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15795015 + ... + 15802425.

It is an arithmetic number, because the mean of its divisors is an integer number (1897709184).

Almost surely, 2^117084313920 is an apocalyptic number.

117084313920 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 117084313920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212543428608).

117084313920 is an abundant number, since it is smaller than the sum of its proper divisors (308002543296).

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

117084313920 is a wasteful number, since it uses less digits than its factorization.

117084313920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9789 (or 9779 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 117084313920 in words is "one hundred seventeen billion, eighty-four million, three hundred thirteen thousand, nine hundred twenty".