116607095728128 has 768 divisors, whose sum is σ = 376452655488000. Its totient is φ = 35526043238400.

The previous prime is 116607095728117. The next prime is 116607095728159. The reversal of 116607095728128 is 821827590706611.

116607095728128 is a `hidden beast` number, since 1 + 1 + 6 + 607 + 0 + 9 + 5 + 7 + 2 + 8 + 12 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4530001338 + ... + 4530027078.

It is an arithmetic number, because the mean of its divisors is an integer number (490172728500).

Almost surely, 2^{116607095728128} is an apocalyptic number.

116607095728128 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 116607095728128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188226327744000).

116607095728128 is an abundant number, since it is smaller than the sum of its proper divisors (259845559759872).

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

116607095728128 is a wasteful number, since it uses less digits than its factorization.

116607095728128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25929 (or 25903 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 116607095728128 in words is "one hundred sixteen trillion, six hundred seven billion, ninety-five million, seven hundred twenty-eight thousand, one hundred twenty-eight".