116584324927200 has 864 divisors, whose sum is σ = 453196015848576. Its totient is φ = 28019712430080.

The previous prime is 116584324927069. The next prime is 116584324927241. The reversal of 116584324927200 is 2729423485611.

It is a happy number.

116584324927200 is a `hidden beast` number, since 1 + 1 + 6 + 5 + 84 + 3 + 2 + 492 + 72 + 0 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 18139770387 + ... + 18139776813.

It is a 1-persistent number, because it is pandigital, but 2⋅116584324927200 = 233168649854400 is not.

Almost surely, 2^{116584324927200} is an apocalyptic number.

116584324927200 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 116584324927200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226598007924288).

116584324927200 is an abundant number, since it is smaller than the sum of its proper divisors (336611690921376).

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

116584324927200 is a wasteful number, since it uses less digits than its factorization.

116584324927200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11016 (or 11000 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 116584324927200 in words is "one hundred sixteen trillion, five hundred eighty-four billion, three hundred twenty-four million, nine hundred twenty-seven thousand, two hundred".