13286838994880 has 448 divisors, whose sum is σ = 36673028812800. Its totient is φ = 4534488760320.

The previous prime is 13286838994879. The next prime is 13286838994901. The reversal of 13286838994880 is 8849983868231.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5561672726 + ... + 5561675114.

Almost surely, 2^{13286838994880} is an apocalyptic number.

13286838994880 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 13286838994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18336514406400).

13286838994880 is an abundant number, since it is smaller than the sum of its proper divisors (23386189817920).

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

13286838994880 is a wasteful number, since it uses less digits than its factorization.

13286838994880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3180 (or 3170 counting only the distinct ones).

The product of its (nonzero) digits is 1146617856, while the sum is 77.

The spelling of 13286838994880 in words is "thirteen trillion, two hundred eighty-six billion, eight hundred thirty-eight million, nine hundred ninety-four thousand, eight hundred eighty".