13727660008128 has 448 divisors, whose sum is σ = 40921881315840. Its totient is φ = 4025305497600.

The previous prime is 13727660008061. The next prime is 13727660008129. The reversal of 13727660008128 is 82180006672731.

It is not an unprimeable number, because it can be changed into a prime (13727660008129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12378412438 + ... + 12378413546.

It is an arithmetic number, because the mean of its divisors is an integer number (91343485080).

Almost surely, 2^{13727660008128} 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 13727660008128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20460940657920).

13727660008128 is an abundant number, since it is smaller than the sum of its proper divisors (27194221307712).

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

13727660008128 is a wasteful number, since it uses less digits than its factorization.

13727660008128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2216 (or 2206 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The spelling of 13727660008128 in words is "thirteen trillion, seven hundred twenty-seven billion, six hundred sixty million, eight thousand, one hundred twenty-eight".