12811029848960 has 512 divisors, whose sum is σ = 36558934917120. Its totient is φ = 4201465282560.

The previous prime is 12811029848951. The next prime is 12811029848999. The reversal of 12811029848960 is 6984892011821.

It is a self number, because there is not a number n which added to its sum of digits gives 12811029848960.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 8709061025 + ... + 8709062495.

It is an arithmetic number, because the mean of its divisors is an integer number (71404169760).

Almost surely, 2^{12811029848960} is an apocalyptic number.

12811029848960 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 12811029848960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18279467458560).

12811029848960 is an abundant number, since it is smaller than the sum of its proper divisors (23747905068160).

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

12811029848960 is a wasteful number, since it uses less digits than its factorization.

12811029848960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2446 (or 2434 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 59.

The spelling of 12811029848960 in words is "twelve trillion, eight hundred eleven billion, twenty-nine million, eight hundred forty-eight thousand, nine hundred sixty".