13229793607680 has 1440 divisors, whose sum is σ = 53821313330400. Its totient is φ = 3082108796928.

The previous prime is 13229793607663. The next prime is 13229793607753. The reversal of 13229793607680 is 8670639792231.

13229793607680 is a `hidden beast` number, since 1 + 322 + 97 + 93 + 60 + 7 + 6 + 80 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 13111787016 + ... + 13111788024.

It is an arithmetic number, because the mean of its divisors is an integer number (37375912035).

Almost surely, 2^{13229793607680} is an apocalyptic number.

13229793607680 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 13229793607680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26910656665200).

13229793607680 is an abundant number, since it is smaller than the sum of its proper divisors (40591519722720).

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

13229793607680 is an equidigital number, since it uses as much as digits as its factorization.

13229793607680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 13229793607680 in words is "thirteen trillion, two hundred twenty-nine billion, seven hundred ninety-three million, six hundred seven thousand, six hundred eighty".