5305637044224 has 640 divisors, whose sum is σ = 18046300599360. Its totient is φ = 1537671168000.

The previous prime is 5305637044219. The next prime is 5305637044231. The reversal of 5305637044224 is 4224407365035.

5305637044224 is a `hidden beast` number, since 5 + 3 + 0 + 5 + 637 + 0 + 4 + 4 + 2 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5305637044224.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 671510674 + ... + 671518574.

Almost surely, 2^{5305637044224} is an apocalyptic number.

5305637044224 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 5305637044224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9023150299680).

5305637044224 is an abundant number, since it is smaller than the sum of its proper divisors (12740663555136).

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

5305637044224 is an equidigital number, since it uses as much as digits as its factorization.

5305637044224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7977 (or 7940 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 45.

The spelling of 5305637044224 in words is "five trillion, three hundred five billion, six hundred thirty-seven million, forty-four thousand, two hundred twenty-four".