116083259136000 has 3840 divisors, whose sum is σ = 501620618378880. Its totient is φ = 26448651878400.

The previous prime is 116083259135989. The next prime is 116083259136001. The reversal of 116083259136000 is 631952380611.

116083259136000 is a `hidden beast` number, since 1 + 1 + 6 + 0 + 8 + 3 + 25 + 9 + 13 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3840).

It is a super-3 number, since 3×116083259136000³ (a number of 43 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116083259136001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 334533887827 + ... + 334533888173.

Almost surely, 2^{116083259136000} is an apocalyptic number.

116083259136000 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 116083259136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (250810309189440).

116083259136000 is an abundant number, since it is smaller than the sum of its proper divisors (385537359242880).

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

116083259136000 is a wasteful number, since it uses less digits than its factorization.

116083259136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 116083259136000 in words is "one hundred sixteen trillion, eighty-three billion, two hundred fifty-nine million, one hundred thirty-six thousand".