116865201600 has 672 divisors, whose sum is σ = 489342013440. Its totient is φ = 26576916480.

The previous prime is 116865201589. The next prime is 116865201613. The reversal of 116865201600 is 6102568611.

116865201600 is a `hidden beast` number, since 11 + 68 + 6 + 520 + 1 + 60 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 67434334 + ... + 67436066.

It is an arithmetic number, because the mean of its divisors is an integer number (728187520).

Almost surely, 2^116865201600 is an apocalyptic number.

116865201600 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 116865201600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244671006720).

116865201600 is an abundant number, since it is smaller than the sum of its proper divisors (372476811840).

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

116865201600 is a wasteful number, since it uses less digits than its factorization.

116865201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1973 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 116865201600 in words is "one hundred sixteen billion, eight hundred sixty-five million, two hundred one thousand, six hundred".