13775081424520 has 256 divisors, whose sum is σ = 35539551290880. Its totient is φ = 4769827430400.

The previous prime is 13775081424449. The next prime is 13775081424581. The reversal of 13775081424520 is 2542418057731.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 65368525 + ... + 65578915.

It is an arithmetic number, because the mean of its divisors is an integer number (138826372230).

Almost surely, 2^{13775081424520} is an apocalyptic number.

13775081424520 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 13775081424520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17769775645440).

13775081424520 is an abundant number, since it is smaller than the sum of its proper divisors (21764469866360).

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

13775081424520 is a wasteful number, since it uses less digits than its factorization.

13775081424520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210576 (or 210572 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 49.

The spelling of 13775081424520 in words is "thirteen trillion, seven hundred seventy-five billion, eighty-one million, four hundred twenty-four thousand, five hundred twenty".