289296000000 has 1386 divisors, whose sum is σ = 1244256221754. Its totient is φ = 64512000000.

The previous prime is 289295999999. The next prime is 289296000013. The reversal of 289296000000 is 692982.

289296000000 is a `hidden beast` number, since 28 + 9 + 29 + 600 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 261521777664 + 27774222336 = 511392^2 + 166656^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 7055999980 + ... + 7056000020.

Almost surely, 2^289296000000 is an apocalyptic number.

289296000000 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 289296000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622128110877).

289296000000 is an abundant number, since it is smaller than the sum of its proper divisors (954960221754).

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

289296000000 is an frugal number, since it uses more digits than its factorization.

289296000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Adding to 289296000000 its reverse (692982), we get a palindrome (289296692982).

The spelling of 289296000000 in words is "two hundred eighty-nine billion, two hundred ninety-six million", and thus it is an aban number.