13328016562080 has 1536 divisors, whose sum is σ = 57747527147520. Its totient is φ = 2829996195840.

The previous prime is 13328016562019. The next prime is 13328016562127. The reversal of 13328016562080 is 8026561082331.

13328016562080 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 8 + 0 + 1 + 6 + 562 + 0 + 80 = 666.

13328016562080 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 255 ways as a sum of consecutive naturals, for example, 687462147 + ... + 687481533.

It is an arithmetic number, because the mean of its divisors is an integer number (37596046320).

Almost surely, 2^{13328016562080} is an apocalyptic number.

13328016562080 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 13328016562080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28873763573760).

13328016562080 is an abundant number, since it is smaller than the sum of its proper divisors (44419510585440).

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

13328016562080 is a wasteful number, since it uses less digits than its factorization.

13328016562080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19499 (or 19485 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 13328016562080 in words is "thirteen trillion, three hundred twenty-eight billion, sixteen million, five hundred sixty-two thousand, eighty".