116355965600 has 288 divisors, whose sum is σ = 330593840640. Its totient is φ = 39167631360.

The previous prime is 116355965521. The next prime is 116355965611. The reversal of 116355965600 is 6569553611.

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 47 ways as a sum of consecutive naturals, for example, 78248057 + ... + 78249543.

It is an arithmetic number, because the mean of its divisors is an integer number (1147895280).

Almost surely, 2^116355965600 is an apocalyptic number.

116355965600 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 116355965600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165296920320).

116355965600 is an abundant number, since it is smaller than the sum of its proper divisors (214237875040).

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

116355965600 is a wasteful number, since it uses less digits than its factorization.

116355965600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1760 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 729000, while the sum is 47.

The spelling of 116355965600 in words is "one hundred sixteen billion, three hundred fifty-five million, nine hundred sixty-five thousand, six hundred".