289618334720 has 352 divisors, whose sum is σ = 838341415296. Its totient is φ = 94578278400.

The previous prime is 289618334717. The next prime is 289618334723. The reversal of 289618334720 is 27433816982.

It is an interprime number because it is at equal distance from previous prime (289618334717) and next prime (289618334723).

It is a tau number, because it is divible by the number of its divisors (352).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289618334723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27084575 + ... + 27095265.

It is an arithmetic number, because the mean of its divisors is an integer number (2381651748).

Almost surely, 2^289618334720 is an apocalyptic number.

289618334720 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 289618334720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419170707648).

289618334720 is an abundant number, since it is smaller than the sum of its proper divisors (548723080576).

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

289618334720 is a wasteful number, since it uses less digits than its factorization.

289618334720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10777 (or 10759 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 53.

The spelling of 289618334720 in words is "two hundred eighty-nine billion, six hundred eighteen million, three hundred thirty-four thousand, seven hundred twenty".