5585404608 has 168 divisors, whose sum is σ = 18372856320. Its totient is φ = 1589184000.

The previous prime is 5585404607. The next prime is 5585404631. The reversal of 5585404608 is 8064045855.

5585404608 is a `hidden beast` number, since 5 + 585 + 4 + 0 + 4 + 60 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5585404603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1009273 + ... + 1014791.

It is an arithmetic number, because the mean of its divisors is an integer number (109362240).

Almost surely, 2^5585404608 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 5585404608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9186428160).

5585404608 is an abundant number, since it is smaller than the sum of its proper divisors (12787451712).

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

5585404608 is a wasteful number, since it uses less digits than its factorization.

5585404608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5795 (or 5782 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The square root of 5585404608 is about 74735.5645459376. The cubic root of 5585404608 is about 1774.2638865811.

The spelling of 5585404608 in words is "five billion, five hundred eighty-five million, four hundred four thousand, six hundred eight".