89831460096 has 324 divisors, whose sum is σ = 317158077600. Its totient is φ = 24314701824.

The previous prime is 89831460073. The next prime is 89831460109. The reversal of 89831460096 is 69006413898.

89831460096 is a `hidden beast` number, since 8 + 98 + 3 + 1 + 460 + 0 + 96 = 666.

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 35 ways as a sum of consecutive naturals, for example, 2124085 + ... + 2165963.

Almost surely, 2^89831460096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89831460096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158579038800).

89831460096 is an abundant number, since it is smaller than the sum of its proper divisors (227326617504).

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

89831460096 is a wasteful number, since it uses less digits than its factorization.

89831460096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41934 (or 41910 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 89831460096 in words is "eighty-nine billion, eight hundred thirty-one million, four hundred sixty thousand, ninety-six".