189939931200 has 504 divisors, whose sum is σ = 700616709000. Its totient is φ = 48746987520.

The previous prime is 189939931187. The next prime is 189939931241. The reversal of 189939931200 is 2139939981.

189939931200 is a `hidden beast` number, since 18 + 9 + 9 + 399 + 31 + 200 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 104727315456 + 85212615744 = 323616^2 + 291912^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 187501894 + ... + 187502906.

Almost surely, 2^189939931200 is an apocalyptic number.

189939931200 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 189939931200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350308354500).

189939931200 is an abundant number, since it is smaller than the sum of its proper divisors (510676777800).

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

189939931200 is a wasteful number, since it uses less digits than its factorization.

189939931200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1519 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 944784, while the sum is 54.

The spelling of 189939931200 in words is "one hundred eighty-nine billion, nine hundred thirty-nine million, nine hundred thirty-one thousand, two hundred".