89905584960 has 224 divisors, whose sum is σ = 327399091200. Its totient is φ = 23201372160.

The previous prime is 89905584949. The next prime is 89905584961. The reversal of 89905584960 is 6948550998.

89905584960 is a `hidden beast` number, since 8 + 9 + 90 + 5 + 58 + 496 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89905584961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100006 + ... + 435674.

Almost surely, 2^89905584960 is an apocalyptic number.

89905584960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89905584960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163699545600).

89905584960 is an abundant number, since it is smaller than the sum of its proper divisors (237493506240).

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

89905584960 is a wasteful number, since it uses less digits than its factorization.

89905584960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335726 (or 335710 counting only the distinct ones).

The product of its (nonzero) digits is 27993600, while the sum is 63.

The spelling of 89905584960 in words is "eighty-nine billion, nine hundred five million, five hundred eighty-four thousand, nine hundred sixty".