116537856000 has 416 divisors, whose sum is σ = 410693856768. Its totient is φ = 29242163200.

The previous prime is 116537855999. The next prime is 116537856007. The reversal of 116537856000 is 658735611.

116537856000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (116537856007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26109769 + ... + 26114231.

It is an arithmetic number, because the mean of its divisors is an integer number (987244848).

Almost surely, 2^116537856000 is an apocalyptic number.

116537856000 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 116537856000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205346928384).

116537856000 is an abundant number, since it is smaller than the sum of its proper divisors (294156000768).

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

116537856000 is an equidigital number, since it uses as much as digits as its factorization.

116537856000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4522 (or 4490 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 116537856000 in words is "one hundred sixteen billion, five hundred thirty-seven million, eight hundred fifty-six thousand".