116804107200 has 504 divisors, whose sum is σ = 426470454144. Its totient is φ = 27963443200.

The previous prime is 116804107193. The next prime is 116804107207. The reversal of 116804107200 is 2701408611.

It is an interprime number because it is at equal distance from previous prime (116804107193) and next prime (116804107207).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116804107207) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 48205189 + ... + 48207611.

It is an arithmetic number, because the mean of its divisors is an integer number (846171536).

Almost surely, 2^116804107200 is an apocalyptic number.

116804107200 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 116804107200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213235227072).

116804107200 is an abundant number, since it is smaller than the sum of its proper divisors (309666346944).

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

116804107200 is a wasteful number, since it uses less digits than its factorization.

116804107200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553 (or 2527 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The spelling of 116804107200 in words is "one hundred sixteen billion, eight hundred four million, one hundred seven thousand, two hundred".