116923435200 has 1176 divisors, whose sum is σ = 507495236976. Its totient is φ = 26127360000.

The previous prime is 116923435177. The next prime is 116923435229. The reversal of 116923435200 is 2534329611.

116923435200 is a `hidden beast` number, since 1 + 1 + 6 + 92 + 3 + 43 + 520 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 166794850 + ... + 166795550.

Almost surely, 2^116923435200 is an apocalyptic number.

116923435200 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 116923435200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253747618488).

116923435200 is an abundant number, since it is smaller than the sum of its proper divisors (390571801776).

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

116923435200 is a wasteful number, since it uses less digits than its factorization.

116923435200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 735 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 116923435200 in words is "one hundred sixteen billion, nine hundred twenty-three million, four hundred thirty-five thousand, two hundred".