5305223680 has 160 divisors (see below), whose sum is σ = 13193115408. Its totient is φ = 2044723200.

The previous prime is 5305223633. The next prime is 5305223683. The reversal of 5305223680 is 863225035.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2522450176 + 2782773504 = 50224^2 + 52752^2 .

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (5305223683) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 8276160 + ... + 8276800.

Almost surely, 2^5305223680 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 5305223680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6596557704).

5305223680 is an abundant number, since it is smaller than the sum of its proper divisors (7887891728).

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

5305223680 is an equidigital number, since it uses as much as digits as its factorization.

5305223680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 778 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The square root of 5305223680 is about 72836.9664387528. The cubic root of 5305223680 is about 1744.0860154529.

The spelling of 5305223680 in words is "five billion, three hundred five million, two hundred twenty-three thousand, six hundred eighty".