289709671680 has 1728 divisors, whose sum is σ = 1268476312320. Its totient is φ = 61710336000.

The previous prime is 289709671661. The next prime is 289709671703. The reversal of 289709671680 is 86176907982.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4749338850 + ... + 4749338910.

It is an arithmetic number, because the mean of its divisors is an integer number (734071940).

Almost surely, 2^289709671680 is an apocalyptic number.

289709671680 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 289709671680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (634238156160).

289709671680 is an abundant number, since it is smaller than the sum of its proper divisors (978766640640).

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

289709671680 is a wasteful number, since it uses less digits than its factorization.

289709671680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 289709671680 in words is "two hundred eighty-nine billion, seven hundred nine million, six hundred seventy-one thousand, six hundred eighty".