116159168400 has 480 divisors, whose sum is σ = 412870324608. Its totient is φ = 27682406400.

The previous prime is 116159168353. The next prime is 116159168401. The reversal of 116159168400 is 4861951611.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (116159168401) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 329062624 + ... + 329062976.

Almost surely, 2^116159168400 is an apocalyptic number.

116159168400 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 116159168400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206435162304).

116159168400 is an abundant number, since it is smaller than the sum of its proper divisors (296711156208).

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

116159168400 is a wasteful number, since it uses less digits than its factorization.

116159168400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739 (or 728 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The spelling of 116159168400 in words is "one hundred sixteen billion, one hundred fifty-nine million, one hundred sixty-eight thousand, four hundred".