199118304000 has 2304 divisors, whose sum is σ = 951388139520. Its totient is φ = 39813120000.

The previous prime is 199118303983. The next prime is 199118304023. The reversal of 199118304000 is 403811991.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2727647964 + ... + 2727648036.

It is an arithmetic number, because the mean of its divisors is an integer number (412928880).

Almost surely, 2^199118304000 is an apocalyptic number.

199118304000 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 199118304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (475694069760).

199118304000 is an abundant number, since it is smaller than the sum of its proper divisors (752269835520).

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

199118304000 is a wasteful number, since it uses less digits than its factorization.

199118304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The spelling of 199118304000 in words is "one hundred ninety-nine billion, one hundred eighteen million, three hundred four thousand".