13027973649152 has 216 divisors, whose sum is σ = 33334220388000. Its totient is φ = 5075829749760.

The previous prime is 13027973649127. The next prime is 13027973649167. The reversal of 13027973649152 is 25194637972031.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13027973649091 and 13027973649100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10011674 + ... + 11237862.

Almost surely, 2^{13027973649152} 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 13027973649152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16667110194000).

13027973649152 is an abundant number, since it is smaller than the sum of its proper divisors (20306246738848).

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

13027973649152 is an equidigital number, since it uses as much as digits as its factorization.

13027973649152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1226248 (or 1226209 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 59.

The spelling of 13027973649152 in words is "thirteen trillion, twenty-seven billion, nine hundred seventy-three million, six hundred forty-nine thousand, one hundred fifty-two".