13071360072960 has 864 divisors, whose sum is σ = 54345751649280. Its totient is φ = 2837392588800.

The previous prime is 13071360072943. The next prime is 13071360072961. The reversal of 13071360072960 is 6927006317031.

13071360072960 is a `hidden beast` number, since 1 + 3 + 0 + 7 + 13 + 600 + 7 + 29 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13071360072961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 142606345 + ... + 142697975.

It is an arithmetic number, because the mean of its divisors is an integer number (62900175520).

Almost surely, 2^{13071360072960} is an apocalyptic number.

13071360072960 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 13071360072960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27172875824640).

13071360072960 is an abundant number, since it is smaller than the sum of its proper divisors (41274391576320).

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

13071360072960 is a wasteful number, since it uses less digits than its factorization.

13071360072960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91755 (or 91738 counting only the distinct ones).

The product of its (nonzero) digits is 285768, while the sum is 45.

Adding to 13071360072960 its reverse (6927006317031), we get a palindrome (19998366389991).

The spelling of 13071360072960 in words is "thirteen trillion, seventy-one billion, three hundred sixty million, seventy-two thousand, nine hundred sixty".