89040584331720 has 576 divisors, whose sum is σ = 337664581254000. Its totient is φ = 20289558675456.

The previous prime is 89040584331667. The next prime is 89040584331739. The reversal of 89040584331720 is 2713348504098.

It is a happy number.

89040584331720 is a `hidden beast` number, since 8 + 9 + 0 + 4 + 0 + 584 + 3 + 31 + 7 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 18994029269796 + 70046555061924 = 4358214^2 + 8369382^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8044134346 + ... + 8044145414.

Almost surely, 2^{89040584331720} 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 89040584331720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168832290627000).

89040584331720 is an abundant number, since it is smaller than the sum of its proper divisors (248623996922280).

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

89040584331720 is a wasteful number, since it uses less digits than its factorization.

89040584331720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12462 (or 12448 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 89040584331720 in words is "eighty-nine trillion, forty billion, five hundred eighty-four million, three hundred thirty-one thousand, seven hundred twenty".