13263664800 has 144 divisors (see below), whose sum is σ = 43360349760. Its totient is φ = 3521648640.

The previous prime is 13263664781. The next prime is 13263664879. The reversal of 13263664800 is 846636231.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 547341 + ... + 571059.

It is an arithmetic number, because the mean of its divisors is an integer number (301113540).

Almost surely, 2^13263664800 is an apocalyptic number.

13263664800 is a gapful number since it is divisible by the number (10) 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 13263664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21680174880).

13263664800 is an abundant number, since it is smaller than the sum of its proper divisors (30096684960).

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

13263664800 is a wasteful number, since it uses less digits than its factorization.

13263664800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23975 (or 23962 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 39.

The spelling of 13263664800 in words is "thirteen billion, two hundred sixty-three million, six hundred sixty-four thousand, eight hundred".