116901869230080 has 1152 divisors, whose sum is σ = 460450826035200. Its totient is φ = 27173250662400.

The previous prime is 116901869230061. The next prime is 116901869230109. The reversal of 116901869230080 is 80032968109611.

116901869230080 is a `hidden beast` number, since 1 + 16 + 90 + 1 + 86 + 92 + 300 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 116901869229999 and 116901869230026.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3425477977 + ... + 3425512103.

It is an arithmetic number, because the mean of its divisors is an integer number (399696897600).

Almost surely, 2^{116901869230080} is an apocalyptic number.

116901869230080 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 116901869230080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230225413017600).

116901869230080 is an abundant number, since it is smaller than the sum of its proper divisors (343548956805120).

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

116901869230080 is a wasteful number, since it uses less digits than its factorization.

116901869230080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34311 (or 34288 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 116901869230080 in words is "one hundred sixteen trillion, nine hundred one billion, eight hundred sixty-nine million, two hundred thirty thousand, eighty".