5830816000 has 144 divisors (see below), whose sum is σ = 14602376880. Its totient is φ = 2319974400.

The previous prime is 5830815983. The next prime is 5830816001. The reversal of 5830816000 is 6180385.

It can be written as a sum of positive squares in 8 ways, for example, as 1248067584 + 4582748416 = 35328^2 + 67696^2 .

It is not an unprimeable number, because it can be changed into a prime (5830816001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8223646 + ... + 8224354.

It is an arithmetic number, because the mean of its divisors is an integer number (101405395).

Almost surely, 2^5830816000 is an apocalyptic number.

5830816000 is a gapful number since it is divisible by the number (50) 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 5830816000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7301188440).

5830816000 is an abundant number, since it is smaller than the sum of its proper divisors (8771560880).

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

5830816000 is an equidigital number, since it uses as much as digits as its factorization.

5830816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997 (or 973 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 5830816000 is about 76359.7799892064. The cubic root of 5830816000 is about 1799.8781810562.

Adding to 5830816000 its reverse (6180385), we get a palindrome (5836996385).

The spelling of 5830816000 in words is "five billion, eight hundred thirty million, eight hundred sixteen thousand".