13270219200 has 504 divisors, whose sum is σ = 56281777200. Its totient is φ = 3032709120.

The previous prime is 13270219199. The next prime is 13270219231. The reversal of 13270219200 is 291207231.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 71 ways as a sum of consecutive naturals, for example, 2113666 + ... + 2119934.

Almost surely, 2^13270219200 is an apocalyptic number.

13270219200 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 13270219200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28140888600).

13270219200 is an abundant number, since it is smaller than the sum of its proper divisors (43011558000).

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

13270219200 is a wasteful number, since it uses less digits than its factorization.

13270219200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6314 (or 6286 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 13270219200 in words is "thirteen billion, two hundred seventy million, two hundred nineteen thousand, two hundred".