13517134547920 has 120 divisors (see below), whose sum is σ = 32525406455040. Its totient is φ = 5224128134400.

The previous prime is 13517134547869. The next prime is 13517134547963. The reversal of 13517134547920 is 2974543171531.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 48371961 + ... + 48650599.

It is an arithmetic number, because the mean of its divisors is an integer number (271045053792).

Almost surely, 2^{13517134547920} is an apocalyptic number.

13517134547920 is a gapful number since it is divisible by the number (10) 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 13517134547920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16262703227520).

13517134547920 is an abundant number, since it is smaller than the sum of its proper divisors (19008271907120).

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

13517134547920 is a wasteful number, since it uses less digits than its factorization.

13517134547920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279345 (or 279308 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 52.

The spelling of 13517134547920 in words is "thirteen trillion, five hundred seventeen billion, one hundred thirty-four million, five hundred forty-seven thousand, nine hundred twenty".