189894733200 has 360 divisors, whose sum is σ = 678699715200. Its totient is φ = 49145840640.

The previous prime is 189894733177. The next prime is 189894733243. The reversal of 189894733200 is 2337498981.

189894733200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 16773942 + ... + 16785258.

Almost surely, 2^189894733200 is an apocalyptic number.

189894733200 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 189894733200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339349857600).

189894733200 is an abundant number, since it is smaller than the sum of its proper divisors (488804982000).

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

189894733200 is a wasteful number, since it uses less digits than its factorization.

189894733200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11479 (or 11465 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 189894733200 in words is "one hundred eighty-nine billion, eight hundred ninety-four million, seven hundred thirty-three thousand, two hundred".