5305804416 has 192 divisors, whose sum is σ = 17533432800. Its totient is φ = 1523128320.

The previous prime is 5305804393. The next prime is 5305804421. The reversal of 5305804416 is 6144085035.

It is a happy number.

5305804416 is a `hidden beast` number, since 5 + 30 + 580 + 4 + 41 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 229750 + ... + 251786.

Almost surely, 2^5305804416 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 5305804416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8766716400).

5305804416 is an abundant number, since it is smaller than the sum of its proper divisors (12227628384).

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

5305804416 is a wasteful number, since it uses less digits than its factorization.

5305804416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22087 (or 22072 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5305804416 is about 72840.9528767986. The cubic root of 5305804416 is about 1744.1496518889.

The spelling of 5305804416 in words is "five billion, three hundred five million, eight hundred four thousand, four hundred sixteen".