13052736224000 has 288 divisors, whose sum is σ = 36226766564352. Its totient is φ = 4645455360000.

The previous prime is 13052736223903. The next prime is 13052736224089. The reversal of 13052736224000 is 42263725031.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16149515 + ... + 16938485.

It is an arithmetic number, because the mean of its divisors is an integer number (125787383904).

Almost surely, 2^{13052736224000} is an apocalyptic number.

13052736224000 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 13052736224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18113383282176).

13052736224000 is an abundant number, since it is smaller than the sum of its proper divisors (23174030340352).

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

13052736224000 is an equidigital number, since it uses as much as digits as its factorization.

13052736224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789060 (or 789036 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 35.

Adding to 13052736224000 its reverse (42263725031), we get a palindrome (13094999949031).

The spelling of 13052736224000 in words is "thirteen trillion, fifty-two billion, seven hundred thirty-six million, two hundred twenty-four thousand".