116095057920000 has 1260 divisors, whose sum is σ = 435216126665320. Its totient is φ = 30958682112000.

The previous prime is 116095057919987. The next prime is 116095057920011. The reversal of 116095057920000 is 29750590611.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Jordan-Polya number, since it can be written as (6!)⁴ ⋅ (3!)³ ⋅ 2!.

116095057920000 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 9 + 50 + 579 + 20 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 23219011583998 + ... + 23219011584002.

Almost surely, 2^{116095057920000} is an apocalyptic number.

116095057920000 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 116095057920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217608063332660).

116095057920000 is an abundant number, since it is smaller than the sum of its proper divisors (319121068745320).

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

116095057920000 is an frugal number, since it uses more digits than its factorization.

116095057920000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The spelling of 116095057920000 in words is "one hundred sixteen trillion, ninety-five billion, fifty-seven million, nine hundred twenty thousand".