117983916960 has 1152 divisors, whose sum is σ = 511974328320. Its totient is φ = 22532235264.

The previous prime is 117983916943. The next prime is 117983916961. The reversal of 117983916960 is 69619389711.

It is a happy number.

It is a super-2 number, since 2×117983916960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 117983916894 and 117983916903.

It is not an unprimeable number, because it can be changed into a prime (117983916961) 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 191 ways as a sum of consecutive naturals, for example, 133616679 + ... + 133617561.

It is an arithmetic number, because the mean of its divisors is an integer number (444422160).

Almost surely, 2^117983916960 is an apocalyptic number.

117983916960 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 117983916960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255987164160).

117983916960 is an abundant number, since it is smaller than the sum of its proper divisors (393990411360).

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

117983916960 is a wasteful number, since it uses less digits than its factorization.

117983916960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 4408992, while the sum is 60.

The spelling of 117983916960 in words is "one hundred seventeen billion, nine hundred eighty-three million, nine hundred sixteen thousand, nine hundred sixty".