5801584320 has 420 divisors, whose sum is σ = 23307233040. Its totient is φ = 1324495872.

The previous prime is 5801584303. The next prime is 5801584351. The reversal of 5801584320 is 234851085.

It is a happy number.

5801584320 is a `hidden beast` number, since 58 + 0 + 1 + 584 + 3 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (420).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6914461 + ... + 6915299.

It is an arithmetic number, because the mean of its divisors is an integer number (55493412).

Almost surely, 2^5801584320 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 5801584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11653616520).

5801584320 is an abundant number, since it is smaller than the sum of its proper divisors (17505648720).

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

5801584320 is an equidigital number, since it uses as much as digits as its factorization.

5801584320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 890 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5801584320 is about 76168.1319188018. The cubic root of 5801584320 is about 1796.8653591095.

The spelling of 5801584320 in words is "five billion, eight hundred one million, five hundred eighty-four thousand, three hundred twenty".