5809523904 has 336 divisors, whose sum is σ = 18425769600. Its totient is φ = 1794203136.

The previous prime is 5809523897. The next prime is 5809523911. The reversal of 5809523904 is 4093259085.

It is an interprime number because it is at equal distance from previous prime (5809523897) and next prime (5809523911).

It is a super-2 number, since 2×5809523904² = 67501135982294802432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5809523904.

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 47 ways as a sum of consecutive naturals, for example, 41795067 + ... + 41795205.

It is an arithmetic number, because the mean of its divisors is an integer number (54838600).

Almost surely, 2^5809523904 is an apocalyptic number.

5809523904 is a gapful number since it is divisible by the number (54) 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 5809523904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9212884800).

5809523904 is an abundant number, since it is smaller than the sum of its proper divisors (12616245696).

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

5809523904 is a wasteful number, since it uses less digits than its factorization.

5809523904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 5809523904 is about 76220.2329043936. The cubic root of 5809523904 is about 1797.6846675189.

The spelling of 5809523904 in words is "five billion, eight hundred nine million, five hundred twenty-three thousand, nine hundred four".