116500584096 has 576 divisors, whose sum is σ = 381435844608. Its totient is φ = 34759093248.

The previous prime is 116500584077. The next prime is 116500584119. The reversal of 116500584096 is 690485005611.

116500584096 is a `hidden beast` number, since 1 + 1 + 6 + 500 + 58 + 4 + 0 + 96 = 666.

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, 697608205 + ... + 697608371.

It is an arithmetic number, because the mean of its divisors is an integer number (662215008).

Almost surely, 2^116500584096 is an apocalyptic number.

116500584096 is a gapful number since it is divisible by the number (16) 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 116500584096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190717922304).

116500584096 is an abundant number, since it is smaller than the sum of its proper divisors (264935260512).

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

116500584096 is a wasteful number, since it uses less digits than its factorization.

116500584096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 375 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 116500584096 in words is "one hundred sixteen billion, five hundred million, five hundred eighty-four thousand, ninety-six".