13575723965472 has 96 divisors (see below), whose sum is σ = 37400625859968. Its totient is φ = 4303471394816.

The previous prime is 13575723965437. The next prime is 13575723965527. The reversal of 13575723965472 is 27456932757531.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17388033 + ... + 18152000.

It is an arithmetic number, because the mean of its divisors is an integer number (389589852708).

Almost surely, 2^{13575723965472} is an apocalyptic number.

13575723965472 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13575723965472 is an abundant number, since it is smaller than the sum of its proper divisors (23824901894496).

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

13575723965472 is a wasteful number, since it uses less digits than its factorization.

13575723965472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35540242 (or 35540234 counting only the distinct ones).

The product of its digits is 333396000, while the sum is 66.

The spelling of 13575723965472 in words is "thirteen trillion, five hundred seventy-five billion, seven hundred twenty-three million, nine hundred sixty-five thousand, four hundred seventy-two".