118209753076800 has 1344 divisors, whose sum is σ = 509449011462144. Its totient is φ = 23266826035200.

The previous prime is 118209753076787. The next prime is 118209753076801. The reversal of 118209753076800 is 8670357902811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is not an unprimeable number, because it can be changed into a prime (118209753076801) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 875514897 + ... + 875649903.

Almost surely, 2^{118209753076800} is an apocalyptic number.

118209753076800 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 118209753076800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254724505731072).

118209753076800 is an abundant number, since it is smaller than the sum of its proper divisors (391239258385344).

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

118209753076800 is a wasteful number, since it uses less digits than its factorization.

118209753076800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135176 (or 135161 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 57.

The spelling of 118209753076800 in words is "one hundred eighteen trillion, two hundred nine billion, seven hundred fifty-three million, seventy-six thousand, eight hundred".