117982388160 has 2016 divisors, whose sum is σ = 560840656320. Its totient is φ = 23187161088.

The previous prime is 117982388107. The next prime is 117982388233. The reversal of 117982388160 is 61883289711.

117982388160 is a `hidden beast` number, since 1 + 17 + 98 + 2 + 388 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 117982388097 and 117982388106.

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 1216313232 + ... + 1216313328.

It is an arithmetic number, because the mean of its divisors is an integer number (278194770).

Almost surely, 2^117982388160 is an apocalyptic number.

117982388160 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 117982388160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280420328160).

117982388160 is an abundant number, since it is smaller than the sum of its proper divisors (442858268160).

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

117982388160 is a wasteful number, since it uses less digits than its factorization.

117982388160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 117982388160 in words is "one hundred seventeen billion, nine hundred eighty-two million, three hundred eighty-eight thousand, one hundred sixty".