289366465920 has 768 divisors, whose sum is σ = 1104019994880. Its totient is φ = 64252231680.

The previous prime is 289366465901. The next prime is 289366465931. The reversal of 289366465920 is 29564663982.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 653197219 + ... + 653197661.

It is an arithmetic number, because the mean of its divisors is an integer number (1437526035).

Almost surely, 2^289366465920 is an apocalyptic number.

289366465920 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 289366465920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552009997440).

289366465920 is an abundant number, since it is smaller than the sum of its proper divisors (814653528960).

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

289366465920 is a wasteful number, since it uses less digits than its factorization.

289366465920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663 (or 644 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 60.

The spelling of 289366465920 in words is "two hundred eighty-nine billion, three hundred sixty-six million, four hundred sixty-five thousand, nine hundred twenty".