289506068880 has 480 divisors, whose sum is σ = 1114058160000. Its totient is φ = 61827784704.

The previous prime is 289506068849. The next prime is 289506068909. The reversal of 289506068880 is 88860605982.

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

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, 16302246 + ... + 16319994.

It is an arithmetic number, because the mean of its divisors is an integer number (2320954500).

Almost surely, 2^289506068880 is an apocalyptic number.

289506068880 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 289506068880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (557029080000).

289506068880 is an abundant number, since it is smaller than the sum of its proper divisors (824552091120).

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

289506068880 is a wasteful number, since it uses less digits than its factorization.

289506068880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17871 (or 17858 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 60.

The spelling of 289506068880 in words is "two hundred eighty-nine billion, five hundred six million, sixty-eight thousand, eight hundred eighty".