289849752200 has 36 divisors (see below), whose sum is σ = 673918376415. Its totient is φ = 115936855360.

The previous prime is 289849752167. The next prime is 289849752209. The reversal of 289849752200 is 2257948982.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 143985338116 + 145864414084 = 379454^2 + 381922^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=380690.

It is a super-3 number, since 3×289849752200³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (289849752209) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 7594766 + ... + 7632834.

Almost surely, 2^289849752200 is an apocalyptic number.

289849752200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

289849752200 is an abundant number, since it is smaller than the sum of its proper divisors (384068624215).

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

289849752200 is an frugal number, since it uses more digits than its factorization.

289849752200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76154 (or 38076 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 56.

The spelling of 289849752200 in words is "two hundred eighty-nine billion, eight hundred forty-nine million, seven hundred fifty-two thousand, two hundred".