116944027200 has 3024 divisors, whose sum is σ = 607735477440. Its totient is φ = 20901888000.

The previous prime is 116944027159. The next prime is 116944027201. The reversal of 116944027200 is 2720449611.

It is a happy number.

116944027200 is a `hidden beast` number, since 1 + 1 + 6 + 9 + 440 + 2 + 7 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (116944027201) by changing a digit.

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 431 ways as a sum of consecutive naturals, for example, 1917115170 + ... + 1917115230.

Almost surely, 2^116944027200 is an apocalyptic number.

116944027200 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 116944027200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303867738720).

116944027200 is an abundant number, since it is smaller than the sum of its proper divisors (490791450240).

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

116944027200 is a wasteful number, since it uses less digits than its factorization.

116944027200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 116944027200 in words is "one hundred sixteen billion, nine hundred forty-four million, twenty-seven thousand, two hundred".