5221584000 has 768 divisors, whose sum is σ = 20851084800. Its totient is φ = 1293926400.

The previous prime is 5221583999. The next prime is 5221584007. The reversal of 5221584000 is 4851225.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (5221584007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 66095961 + ... + 66096039.

It is an arithmetic number, because the mean of its divisors is an integer number (27149850).

Almost surely, 2^5221584000 is an apocalyptic number.

5221584000 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 5221584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10425542400).

5221584000 is an abundant number, since it is smaller than the sum of its proper divisors (15629500800).

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

5221584000 is an equidigital number, since it uses as much as digits as its factorization.

5221584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5221584000 is about 72260.5286446204. The cubic root of 5221584000 is about 1734.8719408731.

The spelling of 5221584000 in words is "five billion, two hundred twenty-one million, five hundred eighty-four thousand".