13225757808480 has 1536 divisors, whose sum is σ = 52416918650880. Its totient is φ = 2735021752320.

The previous prime is 13225757808467. The next prime is 13225757808517. The reversal of 13225757808480 is 8480875752231.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent 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 255 ways as a sum of consecutive naturals, for example, 51462092512 + ... + 51462092768.

It is an arithmetic number, because the mean of its divisors is an integer number (34125598080).

Almost surely, 2^{13225757808480} is an apocalyptic number.

13225757808480 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 13225757808480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26208459325440).

13225757808480 is an abundant number, since it is smaller than the sum of its proper divisors (39191160842400).

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

13225757808480 is a wasteful number, since it uses less digits than its factorization.

13225757808480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 30105600, while the sum is 60.

The spelling of 13225757808480 in words is "thirteen trillion, two hundred twenty-five billion, seven hundred fifty-seven million, eight hundred eight thousand, four hundred eighty".