116919703756800 has 2520 divisors, whose sum is σ = 510203848598136. Its totient is φ = 26387286589440.

The previous prime is 116919703756781. The next prime is 116919703756847. The reversal of 116919703756800 is 8657307919611.

116919703756800 is a `hidden beast` number, since 1 + 1 + 69 + 1 + 9 + 7 + 0 + 3 + 7 + 568 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2520).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 67466648734 + ... + 67466650466.

Almost surely, 2^{116919703756800} is an apocalyptic number.

116919703756800 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 116919703756800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255101924299068).

116919703756800 is an abundant number, since it is smaller than the sum of its proper divisors (393284144841336).

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

116919703756800 is an equidigital number, since it uses as much as digits as its factorization.

116919703756800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1833 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 116919703756800 in words is "one hundred sixteen trillion, nine hundred nineteen billion, seven hundred three million, seven hundred fifty-six thousand, eight hundred".