5003284391424 has 800 divisors, whose sum is σ = 16726747276800. Its totient is φ = 1475958620160.

The previous prime is 5003284391419. The next prime is 5003284391453. The reversal of 5003284391424 is 4241934823005.

5003284391424 is a `hidden beast` number, since 50 + 0 + 3 + 28 + 439 + 142 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5003284391424.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4909993987 + ... + 4909995005.

It is an arithmetic number, because the mean of its divisors is an integer number (20908434096).

Almost surely, 2^{5003284391424} is an apocalyptic number.

5003284391424 is a gapful number since it is divisible by the number (54) 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 5003284391424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8363373638400).

5003284391424 is an abundant number, since it is smaller than the sum of its proper divisors (11723462885376).

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

5003284391424 is a wasteful number, since it uses less digits than its factorization.

5003284391424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 5003284391424 in words is "five trillion, three billion, two hundred eighty-four million, three hundred ninety-one thousand, four hundred twenty-four".