116058314806800 has 240 divisors, whose sum is σ = 373379659464000. Its totient is φ = 30815461048320.

The previous prime is 116058314806783. The next prime is 116058314806817. The reversal of 116058314806800 is 8608413850611.

It is an interprime number because it is at equal distance from previous prime (116058314806783) and next prime (116058314806817).

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259056592 + ... + 259504208.

It is an arithmetic number, because the mean of its divisors is an integer number (1555748581100).

Almost surely, 2^{116058314806800} is an apocalyptic number.

116058314806800 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 116058314806800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186689829732000).

116058314806800 is an abundant number, since it is smaller than the sum of its proper divisors (257321344657200).

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

116058314806800 is a wasteful number, since it uses less digits than its factorization.

116058314806800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448570 (or 448559 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 51.

The spelling of 116058314806800 in words is "one hundred sixteen trillion, fifty-eight billion, three hundred fourteen million, eight hundred six thousand, eight hundred".