289890432000 has 792 divisors, whose sum is σ = 1131939333720. Its totient is φ = 71309721600.

The previous prime is 289890431993. The next prime is 289890432011. The reversal of 289890432000 is 234098982.

It can be written as a sum of positive squares in 12 ways, for example, as 289633406976 + 257025024 = 538176^2 + 16032^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 194687256 + ... + 194688744.

Almost surely, 2^289890432000 is an apocalyptic number.

289890432000 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 289890432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565969666860).

289890432000 is an abundant number, since it is smaller than the sum of its proper divisors (842048901720).

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

289890432000 is a wasteful number, since it uses less digits than its factorization.

289890432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 289890432000 in words is "two hundred eighty-nine billion, eight hundred ninety million, four hundred thirty-two thousand".