13260208896 has 288 divisors, whose sum is σ = 45298310400. Its totient is φ = 3781509120.

The previous prime is 13260208891. The next prime is 13260208921. The reversal of 13260208896 is 69880206231.

13260208896 is a `hidden beast` number, since 1 + 32 + 602 + 0 + 8 + 8 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (13260208891) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1287415 + ... + 1297673.

It is an arithmetic number, because the mean of its divisors is an integer number (157285800).

Almost surely, 2^13260208896 is an apocalyptic number.

13260208896 is a gapful number since it is divisible by the number (16) 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 13260208896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22649155200).

13260208896 is an abundant number, since it is smaller than the sum of its proper divisors (32038101504).

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

13260208896 is a wasteful number, since it uses less digits than its factorization.

13260208896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10312 (or 10292 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 13260208896 in words is "thirteen billion, two hundred sixty million, two hundred eight thousand, eight hundred ninety-six".