12894509813760 has 1248 divisors, whose sum is σ = 50165095387680. Its totient is φ = 3047581286400.

The previous prime is 12894509813753. The next prime is 12894509813761. The reversal of 12894509813760 is 6731890549821.

12894509813760 is a `hidden beast` number, since 1 + 2 + 8 + 9 + 450 + 98 + 1 + 37 + 60 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 5966412005376 + 6928097808384 = 2442624^2 + 2632128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12894509813761) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 3725658430 + ... + 3725661890.

It is an arithmetic number, because the mean of its divisors is an integer number (40196390535).

It is a 1-persistent number, because it is pandigital, but 2⋅12894509813760 = 25789019627520 is not.

Almost surely, 2^{12894509813760} is an apocalyptic number.

12894509813760 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 12894509813760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25082547693840).

12894509813760 is an abundant number, since it is smaller than the sum of its proper divisors (37270585573920).

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

12894509813760 is a wasteful number, since it uses less digits than its factorization.

12894509813760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3558 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 12894509813760 in words is "twelve trillion, eight hundred ninety-four billion, five hundred nine million, eight hundred thirteen thousand, seven hundred sixty".