13117553589504 has 1728 divisors, whose sum is σ = 47039077865472. Its totient is φ = 3210529996800.

The previous prime is 13117553589461. The next prime is 13117553589523. The reversal of 13117553589504 is 40598535571131.

It is a happy number.

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 191 ways as a sum of consecutive naturals, for example, 54429682824 + ... + 54429683064.

Almost surely, 2^{13117553589504} is an apocalyptic number.

13117553589504 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 13117553589504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23519538932736).

13117553589504 is an abundant number, since it is smaller than the sum of its proper divisors (33921524275968).

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

13117553589504 is a wasteful number, since it uses less digits than its factorization.

13117553589504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 452 (or 431 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 57.

The spelling of 13117553589504 in words is "thirteen trillion, one hundred seventeen billion, five hundred fifty-three million, five hundred eighty-nine thousand, five hundred four".