5800559040 has 280 divisors, whose sum is σ = 20988863280. Its totient is φ = 1520197632.

The previous prime is 5800559027. The next prime is 5800559041. The reversal of 5800559040 is 409550085.

It is a happy number.

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 = 5800558986 and 5800559004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5800559041) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1527384 + ... + 1531176.

It is an arithmetic number, because the mean of its divisors is an integer number (74960226).

Almost surely, 2^5800559040 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 5800559040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10494431640).

5800559040 is an abundant number, since it is smaller than the sum of its proper divisors (15188304240).

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

5800559040 is a wasteful number, since it uses less digits than its factorization.

5800559040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3881 (or 3862 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 5800559040 is about 76161.4012476136. The cubic root of 5800559040 is about 1796.7595030450.

The spelling of 5800559040 in words is "five billion, eight hundred million, five hundred fifty-nine thousand, forty".