13255814208 has 448 divisors, whose sum is σ = 46144931840. Its totient is φ = 3260694528.

The previous prime is 13255814167. The next prime is 13255814233. The reversal of 13255814208 is 80241855231.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×13255814208² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 24233391 + ... + 24233937.

It is an arithmetic number, because the mean of its divisors is an integer number (103002080).

Almost surely, 2^13255814208 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 13255814208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23072465920).

13255814208 is an abundant number, since it is smaller than the sum of its proper divisors (32889117632).

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

13255814208 is a wasteful number, since it uses less digits than its factorization.

13255814208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 664 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 39.

The spelling of 13255814208 in words is "thirteen billion, two hundred fifty-five million, eight hundred fourteen thousand, two hundred eight".