289022068608000 has 2816 divisors, whose sum is σ = 1263567355674624. Its totient is φ = 56965850726400.

The previous prime is 289022068607959. The next prime is 289022068608037. The reversal of 289022068608000 is 806860220982.

It is a super-2 number, since 2×289022068608000² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 34559611819 + ... + 34559620181.

It is an arithmetic number, because the mean of its divisors is an integer number (448709998464).

Almost surely, 2^{289022068608000} is an apocalyptic number.

289022068608000 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 289022068608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (631783677837312).

289022068608000 is an abundant number, since it is smaller than the sum of its proper divisors (974545287066624).

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

289022068608000 is a wasteful number, since it uses less digits than its factorization.

289022068608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8487 (or 8459 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The spelling of 289022068608000 in words is "two hundred eighty-nine trillion, twenty-two billion, sixty-eight million, six hundred eight thousand".