5224128000 has 960 divisors, whose sum is σ = 22429135872. Its totient is φ = 1054310400.

The previous prime is 5224127989. The next prime is 5224128059. The reversal of 5224128000 is 8214225.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 227135989 + ... + 227136011.

Almost surely, 2^5224128000 is an apocalyptic number.

5224128000 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 5224128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11214567936).

5224128000 is an abundant number, since it is smaller than the sum of its proper divisors (17205007872).

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

5224128000 is a wasteful number, since it uses less digits than its factorization.

5224128000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 5224128000 is about 72278.1294721993. The cubic root of 5224128000 is about 1735.1536432355.

The spelling of 5224128000 in words is "five billion, two hundred twenty-four million, one hundred twenty-eight thousand".