5305420105200 has 360 divisors, whose sum is σ = 19666839598848. Its totient is φ = 1319771013120.

The previous prime is 5305420105187. The next prime is 5305420105241. The reversal of 5305420105200 is 25010245035.

It is a happy number.

5305420105200 is a `hidden beast` number, since 5 + 30 + 5 + 420 + 1 + 0 + 5 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6532017 + ... + 7299183.

Almost surely, 2^{5305420105200} is an apocalyptic number.

5305420105200 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 5305420105200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9833419799424).

5305420105200 is an abundant number, since it is smaller than the sum of its proper divisors (14361419493648).

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

5305420105200 is a wasteful number, since it uses less digits than its factorization.

5305420105200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 767321 (or 767307 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The spelling of 5305420105200 in words is "five trillion, three hundred five billion, four hundred twenty million, one hundred five thousand, two hundred".