13216574568960 has 1920 divisors, whose sum is σ = 59888550458880. Its totient is φ = 2620404006912.

The previous prime is 13216574568959. The next prime is 13216574568971. The reversal of 13216574568960 is 6986547561231.

It is a happy number.

13216574568960 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 6 + 5 + 7 + 4 + 568 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1927453852 + ... + 1927460708.

It is an arithmetic number, because the mean of its divisors is an integer number (31191953364).

It is a 1-persistent number, because it is pandigital, but 2⋅13216574568960 = 26433149137920 is not.

Almost surely, 2^{13216574568960} is an apocalyptic number.

13216574568960 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 13216574568960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29944275229440).

13216574568960 is an abundant number, since it is smaller than the sum of its proper divisors (46671975889920).

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

13216574568960 is a wasteful number, since it uses less digits than its factorization.

13216574568960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6966 (or 6947 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 13216574568960 in words is "thirteen trillion, two hundred sixteen billion, five hundred seventy-four million, five hundred sixty-eight thousand, nine hundred sixty".