5305804560 has 400 divisors, whose sum is σ = 21467483136. Its totient is φ = 1189334016.

The previous prime is 5305804531. The next prime is 5305804589. The reversal of 5305804560 is 654085035.

5305804560 is a `hidden beast` number, since 5 + 30 + 580 + 45 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5305804531) and next prime (5305804589).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2402977 + ... + 2405183.

Almost surely, 2^5305804560 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 5305804560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10733741568).

5305804560 is an abundant number, since it is smaller than the sum of its proper divisors (16161678576).

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

5305804560 is a wasteful number, since it uses less digits than its factorization.

5305804560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2292 (or 2277 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5305804560 is about 72840.9538652536. The cubic root of 5305804560 is about 1744.1496676677.

Adding to 5305804560 its reverse (654085035), we get a palindrome (5959889595).

The spelling of 5305804560 in words is "five billion, three hundred five million, eight hundred four thousand, five hundred sixty".