289441254900 has 72 divisors (see below), whose sum is σ = 957085756480. Its totient is φ = 66158000640.

The previous prime is 289441254857. The next prime is 289441254943. The reversal of 289441254900 is 9452144982.

It is an interprime number because it is at equal distance from previous prime (289441254857) and next prime (289441254943).

It is a self number, because there is not a number n which added to its sum of digits gives 289441254900.

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 23 ways as a sum of consecutive naturals, for example, 68912485 + ... + 68916684.

Almost surely, 2^289441254900 is an apocalyptic number.

289441254900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289441254900 is an abundant number, since it is smaller than the sum of its proper divisors (667644501580).

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

289441254900 is a wasteful number, since it uses less digits than its factorization.

289441254900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137829193 (or 137829186 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 48.

The spelling of 289441254900 in words is "two hundred eighty-nine billion, four hundred forty-one million, two hundred fifty-four thousand, nine hundred".