116819723059200 has 5760 divisors, whose sum is σ = 555989880441600. Its totient is φ = 24078974976000.

The previous prime is 116819723059187. The next prime is 116819723059327. The reversal of 116819723059200 is 2950327918611.

It is a happy number.

116819723059200 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 19 + 7 + 2 + 30 + 592 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 1915077427170 + ... + 1915077427230.

It is an arithmetic number, because the mean of its divisors is an integer number (96526020910).

Almost surely, 2^{116819723059200} is an apocalyptic number.

116819723059200 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 116819723059200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277994940220800).

116819723059200 is an abundant number, since it is smaller than the sum of its proper divisors (439170157382400).

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

116819723059200 is an equidigital number, since it uses as much as digits as its factorization.

116819723059200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 116819723059200 in words is "one hundred sixteen trillion, eight hundred nineteen billion, seven hundred twenty-three million, fifty-nine thousand, two hundred".