13020253823808 has 2016 divisors, whose sum is σ = 50571686430720. Its totient is φ = 3283268567040.

The previous prime is 13020253823789. The next prime is 13020253823821. The reversal of 13020253823808 is 80832835202031.

13020253823808 is a `hidden beast` number, since 1 + 30 + 2 + 0 + 2 + 538 + 2 + 3 + 80 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 54478049353 + ... + 54478049591.

It is an arithmetic number, because the mean of its divisors is an integer number (25085161920).

Almost surely, 2^{13020253823808} is an apocalyptic number.

13020253823808 is a gapful number since it is divisible by the number (18) 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 13020253823808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25285843215360).

13020253823808 is an abundant number, since it is smaller than the sum of its proper divisors (37551432606912).

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

13020253823808 is a wasteful number, since it uses less digits than its factorization.

13020253823808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 13020253823808 in words is "thirteen trillion, twenty billion, two hundred fifty-three million, eight hundred twenty-three thousand, eight hundred eight".