116097058728 has 512 divisors, whose sum is σ = 400988160000. Its totient is φ = 30380894208.

The previous prime is 116097058619. The next prime is 116097058771. The reversal of 116097058728 is 827850790611.

116097058728 is a `hidden beast` number, since 1 + 1 + 609 + 7 + 0 + 5 + 8 + 7 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 254041476 + ... + 254041932.

It is an arithmetic number, because the mean of its divisors is an integer number (783180000).

Almost surely, 2^116097058728 is an apocalyptic number.

116097058728 is a gapful number since it is divisible by the number (18) 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 116097058728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200494080000).

116097058728 is an abundant number, since it is smaller than the sum of its proper divisors (284891101272).

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

116097058728 is a wasteful number, since it uses less digits than its factorization.

116097058728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 774 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 54.

The spelling of 116097058728 in words is "one hundred sixteen billion, ninety-seven million, fifty-eight thousand, seven hundred twenty-eight".