13225884800 has 216 divisors, whose sum is σ = 34807430385. Its totient is φ = 4965073920.

The previous prime is 13225884779. The next prime is 13225884809. The reversal of 13225884800 is 848852231.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 12961367104 + 264517696 = 113848^2 + 16264^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=81320.

It is not an unprimeable number, because it can be changed into a prime (13225884809) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 123606347 + ... + 123606453.

Almost surely, 2^13225884800 is an apocalyptic number.

13225884800 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 13225884800

13225884800 is an abundant number, since it is smaller than the sum of its proper divisors (21581545585).

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

13225884800 is an equidigital number, since it uses as much as digits as its factorization.

13225884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 41.

The spelling of 13225884800 in words is "thirteen billion, two hundred twenty-five million, eight hundred eighty-four thousand, eight hundred".