13320755206560 has 576 divisors, whose sum is σ = 48846426789888. Its totient is φ = 3293661560832.

The previous prime is 13320755206547. The next prime is 13320755206609. The reversal of 13320755206560 is 6560255702331.

13320755206560 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 0 + 7 + 5 + 520 + 65 + 60 = 666.

13320755206560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1756656529 + ... + 1756664111.

It is an arithmetic number, because the mean of its divisors is an integer number (84802824288).

Almost surely, 2^{13320755206560} is an apocalyptic number.

13320755206560 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 13320755206560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24423213394944).

13320755206560 is an abundant number, since it is smaller than the sum of its proper divisors (35525671583328).

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

13320755206560 is a wasteful number, since it uses less digits than its factorization.

13320755206560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8677 (or 8666 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 13320755206560 in words is "thirteen trillion, three hundred twenty billion, seven hundred fifty-five million, two hundred six thousand, five hundred sixty".