13515655005504 has 336 divisors, whose sum is σ = 39875869163520. Its totient is φ = 4375223424000.

The previous prime is 13515655005499. The next prime is 13515655005547. The reversal of 13515655005504 is 40550055651531.

13515655005504 is a `hidden beast` number, since 1 + 35 + 1 + 5 + 65 + 5 + 0 + 0 + 550 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13515655005504.

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 47 ways as a sum of consecutive naturals, for example, 2289621817 + ... + 2289627719.

Almost surely, 2^{13515655005504} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13515655005504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19937934581760).

13515655005504 is an abundant number, since it is smaller than the sum of its proper divisors (26360214158016).

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

13515655005504 is a wasteful number, since it uses less digits than its factorization.

13515655005504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6818 (or 6805 counting only the distinct ones).

The product of its (nonzero) digits is 1125000, while the sum is 45.

The spelling of 13515655005504 in words is "thirteen trillion, five hundred fifteen billion, six hundred fifty-five million, five thousand, five hundred four".