117120245760 has 1008 divisors, whose sum is σ = 493198026048. Its totient is φ = 26117406720.

The previous prime is 117120245743. The next prime is 117120245783. The reversal of 117120245760 is 67542021711.

117120245760 is a `hidden beast` number, since 11 + 71 + 2 + 0 + 2 + 4 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2856591340 + ... + 2856591380.

It is an arithmetic number, because the mean of its divisors is an integer number (489283756).

Almost surely, 2^117120245760 is an apocalyptic number.

117120245760 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 117120245760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246599013024).

117120245760 is an abundant number, since it is smaller than the sum of its proper divisors (376077780288).

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

117120245760 is an frugal number, since it uses more digits than its factorization.

117120245760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 117120245760 in words is "one hundred seventeen billion, one hundred twenty million, two hundred forty-five thousand, seven hundred sixty".