13575609247872 has 256 divisors, whose sum is σ = 43386522854400. Its totient is φ = 3674108325888.

The previous prime is 13575609247859. The next prime is 13575609247901. The reversal of 13575609247872 is 27874290657531.

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 31 ways as a sum of consecutive naturals, for example, 542729638 + ... + 542754650.

It is an arithmetic number, because the mean of its divisors is an integer number (169478604900).

It is a 1-persistent number, because it is pandigital, but 2⋅13575609247872 = 27151218495744 is not.

Almost surely, 2^{13575609247872} is an apocalyptic number.

13575609247872 is a gapful number since it is divisible by the number (12) 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 13575609247872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21693261427200).

13575609247872 is an abundant number, since it is smaller than the sum of its proper divisors (29810913606528).

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

13575609247872 is a wasteful number, since it uses less digits than its factorization.

13575609247872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35683 (or 35671 counting only the distinct ones).

The product of its (nonzero) digits is 177811200, while the sum is 66.

The spelling of 13575609247872 in words is "thirteen trillion, five hundred seventy-five billion, six hundred nine million, two hundred forty-seven thousand, eight hundred seventy-two".