5305359360 has 704 divisors, whose sum is σ = 21223296000. Its totient is φ = 1127153664.

The previous prime is 5305359359. The next prime is 5305359361. The reversal of 5305359360 is 639535035.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (5305359359) and next prime (5305359361).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5305359361) 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 63 ways as a sum of consecutive naturals, for example, 100101094 + ... + 100101146.

Almost surely, 2^5305359360 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 5305359360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10611648000).

5305359360 is an abundant number, since it is smaller than the sum of its proper divisors (15917936640).

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

5305359360 is a wasteful number, since it uses less digits than its factorization.

5305359360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 182250, while the sum is 39.

The square root of 5305359360 is about 72837.8978279851. The cubic root of 5305359360 is about 1744.1008835394.

The spelling of 5305359360 in words is "five billion, three hundred five million, three hundred fifty-nine thousand, three hundred sixty".