5305975584 has 144 divisors (see below), whose sum is σ = 17448697728. Its totient is φ = 1399362048.

The previous prime is 5305975541. The next prime is 5305975589. The reversal of 5305975584 is 4855795035.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (5305975589) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17769 + ... + 104535.

It is an arithmetic number, because the mean of its divisors is an integer number (121171512).

Almost surely, 2^5305975584 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 5305975584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8724348864).

5305975584 is an abundant number, since it is smaller than the sum of its proper divisors (12142722144).

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

5305975584 is a wasteful number, since it uses less digits than its factorization.

5305975584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86807 (or 86792 counting only the distinct ones).

The product of its (nonzero) digits is 3780000, while the sum is 51.

The square root of 5305975584 is about 72842.1278107662. The cubic root of 5305975584 is about 1744.1684074111.

The spelling of 5305975584 in words is "five billion, three hundred five million, nine hundred seventy-five thousand, five hundred eighty-four".