5233648000 has 256 divisors, whose sum is σ = 15076938240. Its totient is φ = 1769625600.

The previous prime is 5233647989. The next prime is 5233648001. The reversal of 5233648000 is 8463325.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5233648001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9295719 + ... + 9296281.

It is an arithmetic number, because the mean of its divisors is an integer number (58894290).

Almost surely, 2^5233648000 is an apocalyptic number.

5233648000 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 5233648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7538469120).

5233648000 is an abundant number, since it is smaller than the sum of its proper divisors (9843290240).

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

5233648000 is an equidigital number, since it uses as much as digits as its factorization.

5233648000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 660 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 5233648000 is about 72343.9562092093. The cubic root of 5233648000 is about 1736.2070017270.

The spelling of 5233648000 in words is "five billion, two hundred thirty-three million, six hundred forty-eight thousand".