13688838028800 has 2160 divisors, whose sum is σ = 58010265449136. Its totient is φ = 3068854272000.

The previous prime is 13688838028799. The next prime is 13688838028813. The reversal of 13688838028800 is 882083888631.

13688838028800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 14454949927 + ... + 14454950873.

Almost surely, 2^{13688838028800} is an apocalyptic number.

13688838028800 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 13688838028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29005132724568).

13688838028800 is an abundant number, since it is smaller than the sum of its proper divisors (44321427420336).

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

13688838028800 is a wasteful number, since it uses less digits than its factorization.

13688838028800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1046 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 63.

The spelling of 13688838028800 in words is "thirteen trillion, six hundred eighty-eight billion, eight hundred thirty-eight million, twenty-eight thousand, eight hundred".