13285578311808 has 512 divisors, whose sum is σ = 39559862522880. Its totient is φ = 3916804915200.

The previous prime is 13285578311783. The next prime is 13285578311833. The reversal of 13285578311808 is 80811387558231.

It is an interprime number because it is at equal distance from previous prime (13285578311783) and next prime (13285578311833).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7719684388 + ... + 7719686108.

It is an arithmetic number, because the mean of its divisors is an integer number (77265356490).

Almost surely, 2^{13285578311808} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13285578311808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19779931261440).

13285578311808 is an abundant number, since it is smaller than the sum of its proper divisors (26274284211072).

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

13285578311808 is a wasteful number, since it uses less digits than its factorization.

13285578311808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2156 (or 2144 counting only the distinct ones).

The product of its (nonzero) digits is 12902400, while the sum is 60.

The spelling of 13285578311808 in words is "thirteen trillion, two hundred eighty-five billion, five hundred seventy-eight million, three hundred eleven thousand, eight hundred eight".