13339686739680 has 1152 divisors, whose sum is σ = 55435882844160. Its totient is φ = 2934687006720.

The previous prime is 13339686739679. The next prime is 13339686739681. The reversal of 13339686739680 is 8693768693331.

13339686739680 is a `hidden beast` number, since 1 + 3 + 3 + 396 + 8 + 6 + 73 + 96 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (13339686739679) and next prime (13339686739681).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 13339686739599 and 13339686739608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13339686739681) 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 191 ways as a sum of consecutive naturals, for example, 10961122432 + ... + 10961123648.

It is an arithmetic number, because the mean of its divisors is an integer number (48121426080).

Almost surely, 2^{13339686739680} is an apocalyptic number.

13339686739680 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 13339686739680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27717941422080).

13339686739680 is an abundant number, since it is smaller than the sum of its proper divisors (42096196104480).

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

13339686739680 is a wasteful number, since it uses less digits than its factorization.

13339686739680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1694 counting only the distinct ones).

The product of its (nonzero) digits is 634894848, while the sum is 72.

The spelling of 13339686739680 in words is "thirteen trillion, three hundred thirty-nine billion, six hundred eighty-six million, seven hundred thirty-nine thousand, six hundred eighty".