5585606784 has 192 divisors, whose sum is σ = 16688505600. Its totient is φ = 1791313920.

The previous prime is 5585606773. The next prime is 5585606801. The reversal of 5585606784 is 4876065855.

5585606784 is a `hidden beast` number, since 5 + 5 + 8 + 560 + 6 + 78 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5585606784.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8177707 + ... + 8178389.

It is an arithmetic number, because the mean of its divisors is an integer number (86919300).

Almost surely, 2^5585606784 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 5585606784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8344252800).

5585606784 is an abundant number, since it is smaller than the sum of its proper divisors (11102898816).

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

5585606784 is a wasteful number, since it uses less digits than its factorization.

5585606784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The square root of 5585606784 is about 74736.9171427348. The cubic root of 5585606784 is about 1774.2852941169.

The spelling of 5585606784 in words is "five billion, five hundred eighty-five million, six hundred six thousand, seven hundred eighty-four".