13509615415604 has 192 divisors, whose sum is σ = 30446147289600. Its totient is φ = 5093197824000.

The previous prime is 13509615415559. The next prime is 13509615415613. The reversal of 13509615415604 is 40651451690531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 582575642 + ... + 582598830.

It is an arithmetic number, because the mean of its divisors is an integer number (158573683800).

Almost surely, 2^{13509615415604} is an apocalyptic number.

13509615415604 is a gapful number since it is divisible by the number (14) 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 13509615415604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15223073644800).

13509615415604 is an abundant number, since it is smaller than the sum of its proper divisors (16936531873996).

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

13509615415604 is a wasteful number, since it uses less digits than its factorization.

13509615415604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23754 (or 23752 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 50.

The spelling of 13509615415604 in words is "thirteen trillion, five hundred nine billion, six hundred fifteen million, four hundred fifteen thousand, six hundred four".