5005320144 has 80 divisors (see below), whose sum is σ = 14118709440. Its totient is φ = 1515386880.

The previous prime is 5005320127. The next prime is 5005320193. The reversal of 5005320144 is 4410235005.

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

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 681162 + ... + 688470.

It is an arithmetic number, because the mean of its divisors is an integer number (176483868).

Almost surely, 2^5005320144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5005320144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7059354720).

5005320144 is an abundant number, since it is smaller than the sum of its proper divisors (9113389296).

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

5005320144 is a wasteful number, since it uses less digits than its factorization.

5005320144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8628 (or 8622 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 5005320144 is about 70748.2872160168. The cubic root of 5005320144 is about 1710.5822195818.

Adding to 5005320144 its reverse (4410235005), we get a palindrome (9415555149).

The spelling of 5005320144 in words is "five billion, five million, three hundred twenty thousand, one hundred forty-four".