289081168320 has 560 divisors, whose sum is σ = 1078587030528. Its totient is φ = 65592576000.

The previous prime is 289081168303. The next prime is 289081168331. The reversal of 289081168320 is 23861180982.

It is a tau number, because it is divible by the number of its divisors (560).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 289081168320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 384927945 + ... + 384928695.

Almost surely, 2^289081168320 is an apocalyptic number.

289081168320 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 289081168320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539293515264).

289081168320 is an abundant number, since it is smaller than the sum of its proper divisors (789505862208).

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

289081168320 is an equidigital number, since it uses as much as digits as its factorization.

289081168320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 966 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 289081168320 in words is "two hundred eighty-nine billion, eighty-one million, one hundred sixty-eight thousand, three hundred twenty".