289943089920 has 864 divisors, whose sum is σ = 1149701140224. Its totient is φ = 69374361600.

The previous prime is 289943089873. The next prime is 289943090033. The reversal of 289943089920 is 29980349982.

289943089920 is a `hidden beast` number, since 2 + 8 + 99 + 430 + 8 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 283979010 + ... + 283980030.

It is an arithmetic number, because the mean of its divisors is an integer number (1330672616).

Almost surely, 2^289943089920 is an apocalyptic number.

289943089920 is a gapful number since it is divisible by the number (20) 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 289943089920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (574850570112).

289943089920 is an abundant number, since it is smaller than the sum of its proper divisors (859758050304).

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

289943089920 is a wasteful number, since it uses less digits than its factorization.

289943089920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1151 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The spelling of 289943089920 in words is "two hundred eighty-nine billion, nine hundred forty-three million, eighty-nine thousand, nine hundred twenty".