5305341600 has 216 divisors, whose sum is σ = 20147390172. Its totient is φ = 1305907200.

The previous prime is 5305341599. The next prime is 5305341611. The reversal of 5305341600 is 61435035.

5305341600 is a `hidden beast` number, since 5 + 3 + 0 + 53 + 4 + 1 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 998307216 + 4307034384 = 31596^2 + 65628^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65260 + ... + 121940.

Almost surely, 2^5305341600 is an apocalyptic number.

5305341600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5305341600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10073695086).

5305341600 is an abundant number, since it is smaller than the sum of its proper divisors (14842048572).

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

5305341600 is a wasteful number, since it uses less digits than its factorization.

5305341600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56720 (or 56704 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 5305341600 is about 72837.7759133267. The cubic root of 5305341600 is about 1744.0989373774.

Adding to 5305341600 its reverse (61435035), we get a palindrome (5366776635).

The spelling of 5305341600 in words is "five billion, three hundred five million, three hundred forty-one thousand, six hundred".