13265107968 has 352 divisors, whose sum is σ = 41937232896. Its totient is φ = 3649830912.

The previous prime is 13265107967. The next prime is 13265107981. The reversal of 13265107968 is 86970156231.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13265107967) 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, 117390280 + ... + 117390392.

Almost surely, 2^13265107968 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 13265107968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20968616448).

13265107968 is an abundant number, since it is smaller than the sum of its proper divisors (28672124928).

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

13265107968 is a wasteful number, since it uses less digits than its factorization.

13265107968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The spelling of 13265107968 in words is "thirteen billion, two hundred sixty-five million, one hundred seven thousand, nine hundred sixty-eight".