117168305760 has 768 divisors, whose sum is σ = 484845419520. Its totient is φ = 26104135680.

The previous prime is 117168305747. The next prime is 117168305767. The reversal of 117168305760 is 67503861711.

117168305760 is a `hidden beast` number, since 1 + 1 + 71 + 6 + 8 + 3 + 0 + 576 + 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 not an unprimeable number, because it can be changed into a prime (117168305767) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 34735434 + ... + 34738806.

It is an arithmetic number, because the mean of its divisors is an integer number (631309140).

Almost surely, 2^117168305760 is an apocalyptic number.

117168305760 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 117168305760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242422709760).

117168305760 is an abundant number, since it is smaller than the sum of its proper divisors (367677113760).

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

117168305760 is a wasteful number, since it uses less digits than its factorization.

117168305760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468 (or 3454 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 117168305760 in words is "one hundred seventeen billion, one hundred sixty-eight million, three hundred five thousand, seven hundred sixty".