5304356400200 has 576 divisors, whose sum is σ = 14903628762960. Its totient is φ = 1743667200000.

The previous prime is 5304356400157. The next prime is 5304356400221. The reversal of 5304356400200 is 20046534035.

It can be written as a sum of positive squares in 24 ways, for example, as 15819099076 + 5288537301124 = 125774^2 + 2299682^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3082135340 + ... + 3082137060.

Almost surely, 2^{5304356400200} is an apocalyptic number.

5304356400200 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 5304356400200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7451814381480).

5304356400200 is an abundant number, since it is smaller than the sum of its proper divisors (9599272362760).

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

5304356400200 is a wasteful number, since it uses less digits than its factorization.

5304356400200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1970 (or 1950 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 32.

The spelling of 5304356400200 in words is "five trillion, three hundred four billion, three hundred fifty-six million, four hundred thousand, two hundred".