13426627200 has 1152 divisors, whose sum is σ = 57617205120. Its totient is φ = 2724986880.

The previous prime is 13426627187. The next prime is 13426627237. The reversal of 13426627200 is 272662431.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 183926364 + ... + 183926436.

It is an arithmetic number, because the mean of its divisors is an integer number (50014935).

Almost surely, 2^13426627200 is an apocalyptic number.

13426627200 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 13426627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28808602560).

13426627200 is an abundant number, since it is smaller than the sum of its proper divisors (44190577920).

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

13426627200 is a wasteful number, since it uses less digits than its factorization.

13426627200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 13426627200 in words is "thirteen billion, four hundred twenty-six million, six hundred twenty-seven thousand, two hundred".