13271537664 has 480 divisors, whose sum is σ = 49470220800. Its totient is φ = 3443834880.

The previous prime is 13271537623. The next prime is 13271537687. The reversal of 13271537664 is 46673517231.

13271537664 is a `hidden beast` number, since 1 + 3 + 271 + 5 + 376 + 6 + 4 = 666.

It is a super-2 number, since 2×13271537664² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12772857 + ... + 12773895.

It is an arithmetic number, because the mean of its divisors is an integer number (103062960).

Almost surely, 2^13271537664 is an apocalyptic number.

13271537664 is a gapful number since it is divisible by the number (14) 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 13271537664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24735110400).

13271537664 is an abundant number, since it is smaller than the sum of its proper divisors (36198683136).

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

13271537664 is a wasteful number, since it uses less digits than its factorization.

13271537664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1091 (or 1062 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The spelling of 13271537664 in words is "thirteen billion, two hundred seventy-one million, five hundred thirty-seven thousand, six hundred sixty-four".