117165768744960 has 2240 divisors, whose sum is σ = 471016115095680. Its totient is φ = 27664066805760.

The previous prime is 117165768744943. The next prime is 117165768745007. The reversal of 117165768744960 is 69447867561711.

117165768744960 is a `hidden beast` number, since 1 + 1 + 7 + 1 + 6 + 5 + 7 + 68 + 74 + 496 + 0 = 666.

It is a super-2 number, since 2×117165768744960² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 353975131995 + ... + 353975132325.

It is an arithmetic number, because the mean of its divisors is an integer number (210275051382).

Almost surely, 2^{117165768744960} is an apocalyptic number.

117165768744960 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 117165768744960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235508057547840).

117165768744960 is an abundant number, since it is smaller than the sum of its proper divisors (353850346350720).

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

117165768744960 is a wasteful number, since it uses less digits than its factorization.

117165768744960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 699 (or 666 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 72.

The spelling of 117165768744960 in words is "one hundred seventeen trillion, one hundred sixty-five billion, seven hundred sixty-eight million, seven hundred forty-four thousand, nine hundred sixty".