5184144000 has 768 divisors, whose sum is σ = 22009478400. Its totient is φ = 1144627200.

The previous prime is 5184143989. The next prime is 5184144013. The reversal of 5184144000 is 4414815.

It is a happy number.

5184144000 is a `hidden beast` number, since 518 + 4 + 144 + 0 + 0 + 0 = 666.

It is a Cunningham number, because it is equal to 72001²-1.

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, 37295931 + ... + 37296069.

It is an arithmetic number, because the mean of its divisors is an integer number (28658175).

Almost surely, 2^5184144000 is an apocalyptic number.

5184144000 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 5184144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11004739200).

5184144000 is an abundant number, since it is smaller than the sum of its proper divisors (16825334400).

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

5184144000 is a wasteful number, since it uses less digits than its factorization.

5184144000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218 (or 193 counting only the distinct ones).

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

The square root of 5184144000 is about 72000.9999930557. Note that the first 5 decimals coincide. The cubic root of 5184144000 is about 1730.7155092157.

Adding to 5184144000 its reverse (4414815), we get a palindrome (5188558815).

The spelling of 5184144000 in words is "five billion, one hundred eighty-four million, one hundred forty-four thousand".