5024448000 has 960 divisors, whose sum is σ = 21609491904. Its totient is φ = 1105920000.

The previous prime is 5024447947. The next prime is 5024448007. The reversal of 5024448000 is 8444205.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5024448007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82367970 + ... + 82368030.

Almost surely, 2^5024448000 is an apocalyptic number.

5024448000 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 5024448000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10804745952).

5024448000 is an abundant number, since it is smaller than the sum of its proper divisors (16585043904).

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

5024448000 is a wasteful number, since it uses less digits than its factorization.

5024448000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 5024448000 is about 70883.3407790575. The cubic root of 5024448000 is about 1712.7584492805.

The spelling of 5024448000 in words is "five billion, twenty-four million, four hundred forty-eight thousand".