5085538304 has 288 divisors, whose sum is σ = 13713598080. Its totient is φ = 1857945600.

The previous prime is 5085538301. The next prime is 5085538351. The reversal of 5085538304 is 4038355805.

It is not an unprimeable number, because it can be changed into a prime (5085538301) 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, 18765689 + ... + 18765959.

It is an arithmetic number, because the mean of its divisors is an integer number (47616660).

Almost surely, 2^5085538304 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 5085538304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6856799040).

5085538304 is an abundant number, since it is smaller than the sum of its proper divisors (8628059776).

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

5085538304 is a wasteful number, since it uses less digits than its factorization.

5085538304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 41.

The square root of 5085538304 is about 71312.9602807232. The cubic root of 5085538304 is about 1719.6720918078.

The spelling of 5085538304 in words is "five billion, eighty-five million, five hundred thirty-eight thousand, three hundred four".