118530780019200 has 1200 divisors, whose sum is σ = 443584921527000. Its totient is φ = 31256802754560.

The previous prime is 118530780019159. The next prime is 118530780019219. The reversal of 118530780019200 is 2910087035811.

118530780019200 is a `hidden beast` number, since 1 + 1 + 8 + 530 + 7 + 80 + 0 + 19 + 20 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 5437253931264 + 113093526087936 = 2331792^2 + 10634544^2 .

It is a tau number, because it is divible by the number of its divisors (1200).

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 104987404236 + ... + 104987405364.

Almost surely, 2^{118530780019200} is an apocalyptic number.

118530780019200 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 118530780019200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221792460763500).

118530780019200 is an abundant number, since it is smaller than the sum of its proper divisors (325054141507800).

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

118530780019200 is a wasteful number, since it uses less digits than its factorization.

118530780019200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2207 (or 2177 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 118530780019200 in words is "one hundred eighteen trillion, five hundred thirty billion, seven hundred eighty million, nineteen thousand, two hundred".