89824579521889 has 9 divisors (see below), whose sum is σ = 91373403087187. Its totient is φ = 88301579321704.

The previous prime is 89824579521883. The next prime is 89824579521907. The reversal of 89824579521889 is 98812597542898.

It is a happy number.

The square root of 89824579521889 is 9477583.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 11906743878225 + 77917835643664 = 3450615^2 + 8827108^2 .

It is not a de Polignac number, because 89824579521889 - 2⁵ = 89824579521857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (89824579521883) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 559097079 + ... + 559257715.

Almost surely, 2^{89824579521889} is an apocalyptic number.

89824579521889 is the 9477583-rd square number.

89824579521889 is the 4738792-nd centered octagonal number.

It is an amenable number.

89824579521889 is a deficient number, since it is larger than the sum of its proper divisors (1548823565298).

89824579521889 is an frugal number, since it uses more digits than its factorization.

89824579521889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321392 (or 160696 counting only the distinct ones).

The product of its digits is 8360755200, while the sum is 85.

The spelling of 89824579521889 in words is "eighty-nine trillion, eight hundred twenty-four billion, five hundred seventy-nine million, five hundred twenty-one thousand, eight hundred eighty-nine".