13266271200 has 1152 divisors, whose sum is σ = 58796236800. Its totient is φ = 2518179840.

The previous prime is 13266271199. The next prime is 13266271217. The reversal of 13266271200 is 217266231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95440731 + ... + 95440869.

It is an arithmetic number, because the mean of its divisors is an integer number (51038400).

Almost surely, 2^13266271200 is an apocalyptic number.

13266271200 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 13266271200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29398118400).

13266271200 is an abundant number, since it is smaller than the sum of its proper divisors (45529965600).

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

13266271200 is a wasteful number, since it uses less digits than its factorization.

13266271200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 13266271200 in words is "thirteen billion, two hundred sixty-six million, two hundred seventy-one thousand, two hundred".