13517021414272 has 64 divisors (see below), whose sum is σ = 27095809482000. Its totient is φ = 6716511166464.

The previous prime is 13517021414261. The next prime is 13517021414287. The reversal of 13517021414272 is 27241412071531.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 443908104 + ... + 443938552.

Almost surely, 2^{13517021414272} 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 13517021414272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547904741000).

13517021414272 is an abundant number, since it is smaller than the sum of its proper divisors (13578788067728).

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

13517021414272 is a wasteful number, since it uses less digits than its factorization.

13517021414272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51903 (or 51891 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 40.

The spelling of 13517021414272 in words is "thirteen trillion, five hundred seventeen billion, twenty-one million, four hundred fourteen thousand, two hundred seventy-two".