118200790800 has 360 divisors, whose sum is σ = 427677966144. Its totient is φ = 30204195840.

The previous prime is 118200790793. The next prime is 118200790811. The reversal of 118200790800 is 8097002811.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 8197197 + ... + 8211603.

Almost surely, 2^118200790800 is an apocalyptic number.

118200790800 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 118200790800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213838983072).

118200790800 is an abundant number, since it is smaller than the sum of its proper divisors (309477175344).

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

118200790800 is a wasteful number, since it uses less digits than its factorization.

118200790800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14527 (or 14513 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The spelling of 118200790800 in words is "one hundred eighteen billion, two hundred million, seven hundred ninety thousand, eight hundred".