12813294748800 has 1152 divisors, whose sum is σ = 53596804584960. Its totient is φ = 2666337730560.

The previous prime is 12813294748781. The next prime is 12813294748883. The reversal of 12813294748800 is 884749231821.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 446395249 + ... + 446423951.

It is an arithmetic number, because the mean of its divisors is an integer number (46525003980).

Almost surely, 2^{12813294748800} is an apocalyptic number.

12813294748800 is a gapful number since it is divisible by the number (10) 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 12813294748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26798402292480).

12813294748800 is an abundant number, since it is smaller than the sum of its proper divisors (40783509836160).

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

12813294748800 is a wasteful number, since it uses less digits than its factorization.

12813294748800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28830 (or 28806 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 57.

The spelling of 12813294748800 in words is "twelve trillion, eight hundred thirteen billion, two hundred ninety-four million, seven hundred forty-eight thousand, eight hundred".