5820408000 has 336 divisors, whose sum is σ = 22716439200. Its totient is φ = 1410816000.

The previous prime is 5820407953. The next prime is 5820408001. The reversal of 5820408000 is 8040285.

5820408000 is a `hidden beast` number, since 582 + 0 + 4 + 0 + 80 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (5820408001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 788326 + ... + 795674.

It is an arithmetic number, because the mean of its divisors is an integer number (67608450).

Almost surely, 2^5820408000 is an apocalyptic number.

5820408000 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 5820408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11358219600).

5820408000 is an abundant number, since it is smaller than the sum of its proper divisors (16896031200).

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

5820408000 is a wasteful number, since it uses less digits than its factorization.

5820408000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7393 (or 7370 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 5820408000 is about 76291.5984889555. The cubic root of 5820408000 is about 1798.8066163798.

Adding to 5820408000 its reverse (8040285), we get a palindrome (5828448285).

The spelling of 5820408000 in words is "five billion, eight hundred twenty million, four hundred eight thousand".