13496571264 has 384 divisors, whose sum is σ = 42306727680. Its totient is φ = 3778744320.

The previous prime is 13496571239. The next prime is 13496571271. The reversal of 13496571264 is 46217569431.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80817709 + ... + 80817875.

It is an arithmetic number, because the mean of its divisors is an integer number (110173770).

Almost surely, 2^13496571264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13496571264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21153363840).

13496571264 is an abundant number, since it is smaller than the sum of its proper divisors (28810156416).

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

13496571264 is a wasteful number, since it uses less digits than its factorization.

13496571264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 255 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The spelling of 13496571264 in words is "thirteen billion, four hundred ninety-six million, five hundred seventy-one thousand, two hundred sixty-four".