116709893496000 has 1792 divisors, whose sum is σ = 496929846067200. Its totient is φ = 26266166784000.

The previous prime is 116709893495999. The next prime is 116709893496047. The reversal of 116709893496000 is 694398907611.

116709893496000 is a `hidden beast` number, since 1 + 1 + 67 + 0 + 9 + 89 + 3 + 496 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 51482086867 + ... + 51482089133.

It is an arithmetic number, because the mean of its divisors is an integer number (277304601600).

Almost surely, 2^{116709893496000} is an apocalyptic number.

116709893496000 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 116709893496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248464923033600).

116709893496000 is an abundant number, since it is smaller than the sum of its proper divisors (380219952571200).

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

116709893496000 is a wasteful number, since it uses less digits than its factorization.

116709893496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2820 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 63.

The spelling of 116709893496000 in words is "one hundred sixteen trillion, seven hundred nine billion, eight hundred ninety-three million, four hundred ninety-six thousand".