289881988320 has 192 divisors, whose sum is σ = 918161153280. Its totient is φ = 76876800000.

The previous prime is 289881988289. The next prime is 289881988393. The reversal of 289881988320 is 23889188982.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 103490920 + ... + 103493720.

It is an arithmetic number, because the mean of its divisors is an integer number (4782089340).

Almost surely, 2^289881988320 is an apocalyptic number.

289881988320 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 289881988320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459080576640).

289881988320 is an abundant number, since it is smaller than the sum of its proper divisors (628279164960).

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

289881988320 is a wasteful number, since it uses less digits than its factorization.

289881988320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3929 (or 3921 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 66.

The spelling of 289881988320 in words is "two hundred eighty-nine billion, eight hundred eighty-one million, nine hundred eighty-eight thousand, three hundred twenty".