13271275985688 has 192 divisors, whose sum is σ = 41174782272000. Its totient is φ = 3782844688896.

The previous prime is 13271275985683. The next prime is 13271275985699. The reversal of 13271275985688 is 88658957217231.

13271275985688 is a `hidden beast` number, since 1 + 3 + 2 + 7 + 1 + 2 + 7 + 59 + 8 + 568 + 8 = 666.

It is a super-2 number, since 2×13271275985688² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13271275985683) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 562116028 + ... + 562139636.

It is an arithmetic number, because the mean of its divisors is an integer number (214451991000).

Almost surely, 2^{13271275985688} is an apocalyptic number.

13271275985688 is a gapful number since it is divisible by the number (18) 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 13271275985688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20587391136000).

13271275985688 is an abundant number, since it is smaller than the sum of its proper divisors (27903506286312).

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

13271275985688 is a wasteful number, since it uses less digits than its factorization.

13271275985688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26214 (or 26207 counting only the distinct ones).

The product of its digits is 406425600, while the sum is 72.

The spelling of 13271275985688 in words is "thirteen trillion, two hundred seventy-one billion, two hundred seventy-five million, nine hundred eighty-five thousand, six hundred eighty-eight".