5809073920 has 288 divisors, whose sum is σ = 15648373440. Its totient is φ = 2052587520.

The previous prime is 5809073917. The next prime is 5809073923. The reversal of 5809073920 is 293709085.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5809073917) and next prime (5809073923).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5809073923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59887312 + ... + 59887408.

It is an arithmetic number, because the mean of its divisors is an integer number (54334630).

Almost surely, 2^5809073920 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 5809073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7824186720).

5809073920 is an abundant number, since it is smaller than the sum of its proper divisors (9839299520).

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

5809073920 is a wasteful number, since it uses less digits than its factorization.

5809073920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

The square root of 5809073920 is about 76217.2809801032. The cubic root of 5809073920 is about 1797.6382523429.

The spelling of 5809073920 in words is "five billion, eight hundred nine million, seventy-three thousand, nine hundred twenty".