116901876102400 has 324 divisors, whose sum is σ = 312411424671220. Its totient is φ = 43288598937600.

The previous prime is 116901876102301. The next prime is 116901876102413. The reversal of 116901876102400 is 4201678109611.

It can be written as a sum of positive squares in 18 ways, for example, as 103936230687744 + 12965645414656 = 10194912^2 + 3600784^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112307536 + ... + 113343664.

Almost surely, 2^{116901876102400} is an apocalyptic number.

116901876102400 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 116901876102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156205712335610).

116901876102400 is an abundant number, since it is smaller than the sum of its proper divisors (195509548568820).

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

116901876102400 is a wasteful number, since it uses less digits than its factorization.

116901876102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1036250 (or 1036214 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

The spelling of 116901876102400 in words is "one hundred sixteen trillion, nine hundred one billion, eight hundred seventy-six million, one hundred two thousand, four hundred".