5585200128 has 330 divisors, whose sum is σ = 17793338706. Its totient is φ = 1744699392.

The previous prime is 5585200109. The next prime is 5585200133. The reversal of 5585200128 is 8210025855.

5585200128 is a `hidden beast` number, since 5 + 5 + 8 + 520 + 0 + 128 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1423401984 + 4161798144 = 37728^2 + 64512^2 .

It is a super-2 number, since 2×5585200128² = 62388920939622432768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5585200092 and 5585200101.

It is an unprimeable number.

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 29 ways as a sum of consecutive naturals, for example, 23970700 + ... + 23970932.

Almost surely, 2^5585200128 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 5585200128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8896669353).

5585200128 is an abundant number, since it is smaller than the sum of its proper divisors (12208138578).

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

5585200128 is a wasteful number, since it uses less digits than its factorization.

5585200128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 5585200128 is about 74734.1965100315. The cubic root of 5585200128 is about 1774.2422345593.

The spelling of 5585200128 in words is "five billion, five hundred eighty-five million, two hundred thousand, one hundred twenty-eight".