8305000413200 has 120 divisors (see below), whose sum is σ = 19996803976800. Its totient is φ = 3314673146880.

The previous prime is 8305000413161. The next prime is 8305000413221. The reversal of 8305000413200 is 23140005038.

It is a self number, because there is not a number n which added to its sum of digits gives 8305000413200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 605181539 + ... + 605195261.

It is an arithmetic number, because the mean of its divisors is an integer number (166640033140).

Almost surely, 2^{8305000413200} is an apocalyptic number.

8305000413200 is a gapful number since it is divisible by the number (80) 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 8305000413200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9998401988400).

8305000413200 is an abundant number, since it is smaller than the sum of its proper divisors (11691803563600).

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

8305000413200 is a wasteful number, since it uses less digits than its factorization.

8305000413200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16969 (or 16958 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 8305000413200 its reverse (23140005038), we get a palindrome (8328140418238).

The spelling of 8305000413200 in words is "eight trillion, three hundred five billion, four hundred thirteen thousand, two hundred".