13856365186720 has 384 divisors, whose sum is σ = 38590110720000. Its totient is φ = 4604184059904.

The previous prime is 13856365186673. The next prime is 13856365186723. The reversal of 13856365186720 is 2768156365831.

13856365186720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (13856365186723) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1094579751 + ... + 1094592409.

It is an arithmetic number, because the mean of its divisors is an integer number (100495080000).

Almost surely, 2^{13856365186720} is an apocalyptic number.

13856365186720 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 13856365186720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19295055360000).

13856365186720 is an abundant number, since it is smaller than the sum of its proper divisors (24733745533280).

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

13856365186720 is a wasteful number, since it uses less digits than its factorization.

13856365186720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12988 (or 12980 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 61.

The spelling of 13856365186720 in words is "thirteen trillion, eight hundred fifty-six billion, three hundred sixty-five million, one hundred eighty-six thousand, seven hundred twenty".