289338380760 has 256 divisors, whose sum is σ = 1024047360000. Its totient is φ = 64475228160.

The previous prime is 289338380759. The next prime is 289338380797. The reversal of 289338380760 is 67083833982.

It is a self number, because there is not a number n which added to its sum of digits gives 289338380760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4065966 + ... + 4136514.

It is an arithmetic number, because the mean of its divisors is an integer number (4000185000).

Almost surely, 2^289338380760 is an apocalyptic number.

289338380760 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 289338380760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (512023680000).

289338380760 is an abundant number, since it is smaller than the sum of its proper divisors (734708979240).

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

289338380760 is a wasteful number, since it uses less digits than its factorization.

289338380760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70826 (or 70822 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 57.

The spelling of 289338380760 in words is "two hundred eighty-nine billion, three hundred thirty-eight million, three hundred eighty thousand, seven hundred sixty".