13327048224000 has 1080 divisors, whose sum is σ = 55946614897992. Its totient is φ = 3046024396800.

The previous prime is 13327048223977. The next prime is 13327048224089. The reversal of 13327048224000 is 42284072331.

It is a happy number.

13327048224000 is a `hidden beast` number, since 1 + 332 + 7 + 0 + 4 + 82 + 240 + 0 + 0 = 666.

13327048224000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 241639098624 + 13085409125376 = 491568^2 + 3617376^2 .

It is a super-2 number, since 2×13327048224000² (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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 691478364 + ... + 691497636.

Almost surely, 2^{13327048224000} is an apocalyptic number.

13327048224000 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 13327048224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27973307448996).

13327048224000 is an abundant number, since it is smaller than the sum of its proper divisors (42619566673992).

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

13327048224000 is an frugal number, since it uses more digits than its factorization.

13327048224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19338 (or 19290 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 13327048224000 in words is "thirteen trillion, three hundred twenty-seven billion, forty-eight million, two hundred twenty-four thousand".