116185492800 has 1008 divisors, whose sum is σ = 467386529792. Its totient is φ = 28217548800.

The previous prime is 116185492799. The next prime is 116185492807. The reversal of 116185492800 is 8294581611.

It is a happy number.

116185492800 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 85 + 492 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116185492807) 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 143 ways as a sum of consecutive naturals, for example, 641908710 + ... + 641908890.

Almost surely, 2^116185492800 is an apocalyptic number.

116185492800 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 116185492800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233693264896).

116185492800 is an abundant number, since it is smaller than the sum of its proper divisors (351201036992).

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

116185492800 is a wasteful number, since it uses less digits than its factorization.

116185492800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 116185492800 in words is "one hundred sixteen billion, one hundred eighty-five million, four hundred ninety-two thousand, eight hundred".