5809358880 has 720 divisors, whose sum is σ = 23424625224. Its totient is φ = 1347010560.

The previous prime is 5809358879. The next prime is 5809358903. The reversal of 5809358880 is 888539085.

5809358880 is a `hidden beast` number, since 58 + 0 + 9 + 3 + 588 + 8 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 99440784 + 5709918096 = 9972^2 + 75564^2 .

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 141691660 + ... + 141691700.

Almost surely, 2^5809358880 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 5809358880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11712312612).

5809358880 is an abundant number, since it is smaller than the sum of its proper divisors (17615266344).

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

5809358880 is a wasteful number, since it uses less digits than its factorization.

5809358880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 2764800, while the sum is 54.

The square root of 5809358880 is about 76219.1503495021. The cubic root of 5809358880 is about 1797.6676458186.

The spelling of 5809358880 in words is "five billion, eight hundred nine million, three hundred fifty-eight thousand, eight hundred eighty".