116959864627200 has 2016 divisors, whose sum is σ = 480197415666240. Its totient is φ = 24970788864000.

The previous prime is 116959864627189. The next prime is 116959864627217. The reversal of 116959864627200 is 2726468959611.

It is a super-2 number, since 2×116959864627200² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 41756465800 + ... + 41756468600.

Almost surely, 2^{116959864627200} is an apocalyptic number.

116959864627200 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 116959864627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240098707833120).

116959864627200 is an abundant number, since it is smaller than the sum of its proper divisors (363237551039040).

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

116959864627200 is a wasteful number, since it uses less digits than its factorization.

116959864627200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2946 (or 2910 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 66.

The spelling of 116959864627200 in words is "one hundred sixteen trillion, nine hundred fifty-nine billion, eight hundred sixty-four million, six hundred twenty-seven thousand, two hundred".