189609984000 has 840 divisors, whose sum is σ = 715140561408. Its totient is φ = 50164531200.

The previous prime is 189609983989. The next prime is 189609984029. The reversal of 189609984000 is 489906981.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1492991937 + ... + 1492992063.

Almost surely, 2^189609984000 is an apocalyptic number.

189609984000 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 189609984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357570280704).

189609984000 is an abundant number, since it is smaller than the sum of its proper divisors (525530577408).

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

189609984000 is an frugal number, since it uses more digits than its factorization.

189609984000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 189609984000 in words is "one hundred eighty-nine billion, six hundred nine million, nine hundred eighty-four thousand".