289272318720 has 1728 divisors, whose sum is σ = 1269396602880. Its totient is φ = 54743040000.

The previous prime is 289272318679. The next prime is 289272318773. The reversal of 289272318720 is 27813272982.

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 191 ways as a sum of consecutive naturals, for example, 1915710645 + ... + 1915710795.

Almost surely, 2^289272318720 is an apocalyptic number.

289272318720 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 289272318720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634698301440).

289272318720 is an abundant number, since it is smaller than the sum of its proper divisors (980124284160).

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

289272318720 is a wasteful number, since it uses less digits than its factorization.

289272318720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 289272318720 in words is "two hundred eighty-nine billion, two hundred seventy-two million, three hundred eighteen thousand, seven hundred twenty".