13026362227200 has 1440 divisors, whose sum is σ = 56641565350656. Its totient is φ = 2790882017280.

The previous prime is 13026362227171. The next prime is 13026362227201. The reversal of 13026362227200 is 272226362031.

13026362227200 is a `hidden beast` number, since 1 + 3 + 0 + 2 + 6 + 3 + 622 + 2 + 7 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×13026362227200² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (13026362227201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3605412594 + ... + 3605416206.

Almost surely, 2^{13026362227200} is an apocalyptic number.

13026362227200 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 13026362227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28320782675328).

13026362227200 is an abundant number, since it is smaller than the sum of its proper divisors (43615203123456).

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

13026362227200 is a wasteful number, since it uses less digits than its factorization.

13026362227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3934 (or 3910 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

Adding to 13026362227200 its reverse (272226362031), we get a palindrome (13298588589231).

The spelling of 13026362227200 in words is "thirteen trillion, twenty-six billion, three hundred sixty-two million, two hundred twenty-seven thousand, two hundred".