89584411896 has 432 divisors, whose sum is σ = 307271240640. Its totient is φ = 23491399680.

The previous prime is 89584411831. The next prime is 89584411933. The reversal of 89584411896 is 69811448598.

89584411896 is a `hidden beast` number, since 8 + 9 + 5 + 8 + 441 + 189 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 41802201 + ... + 41804343.

It is an arithmetic number, because the mean of its divisors is an integer number (711276020).

Almost surely, 2^89584411896 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 89584411896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153635620320).

89584411896 is an abundant number, since it is smaller than the sum of its proper divisors (217686828744).

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

89584411896 is a wasteful number, since it uses less digits than its factorization.

89584411896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2244 (or 2213 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 63.

The spelling of 89584411896 in words is "eighty-nine billion, five hundred eighty-four million, four hundred eleven thousand, eight hundred ninety-six".