116201217600 has 336 divisors, whose sum is σ = 456183024640. Its totient is φ = 28603238400.

The previous prime is 116201217589. The next prime is 116201217607. The reversal of 116201217600 is 6712102611.

It is a happy number.

116201217600 is a `hidden beast` number, since 1 + 16 + 20 + 1 + 21 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (116201217607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 458145 + ... + 665055.

Almost surely, 2^116201217600 is an apocalyptic number.

116201217600 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 116201217600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228091512320).

116201217600 is an abundant number, since it is smaller than the sum of its proper divisors (339981807040).

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

116201217600 is a wasteful number, since it uses less digits than its factorization.

116201217600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206955 (or 206934 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The spelling of 116201217600 in words is "one hundred sixteen billion, two hundred one million, two hundred seventeen thousand, six hundred".