5308903219200 has 672 divisors, whose sum is σ = 20187114775296. Its totient is φ = 1205859778560.

The previous prime is 5308903219187. The next prime is 5308903219289. The reversal of 5308903219200 is 29123098035.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 701026614 + ... + 701034186.

It is an arithmetic number, because the mean of its divisors is an integer number (30040349368).

Almost surely, 2^{5308903219200} is an apocalyptic number.

5308903219200 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 5308903219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10093557387648).

5308903219200 is an abundant number, since it is smaller than the sum of its proper divisors (14878211556096).

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

5308903219200 is a wasteful number, since it uses less digits than its factorization.

5308903219200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7782 (or 7753 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 5308903219200 in words is "five trillion, three hundred eight billion, nine hundred three million, two hundred nineteen thousand, two hundred".