116960729600 has 720 divisors, whose sum is σ = 354533834424. Its totient is φ = 37955174400.

The previous prime is 116960729579. The next prime is 116960729689. The reversal of 116960729600 is 6927069611.

It can be written as a sum of positive squares in 12 ways, for example, as 3601920256 + 113358809344 = 60016^2 + 336688^2 .

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 71 ways as a sum of consecutive naturals, for example, 744972722 + ... + 744972878.

Almost surely, 2^116960729600 is an apocalyptic number.

116960729600 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 116960729600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177266917212).

116960729600 is an abundant number, since it is smaller than the sum of its proper divisors (237573104824).

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

116960729600 is a wasteful number, since it uses less digits than its factorization.

116960729600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 47.

The spelling of 116960729600 in words is "one hundred sixteen billion, nine hundred sixty million, seven hundred twenty-nine thousand, six hundred".