13057276026912 has 768 divisors, whose sum is σ = 41479796736000. Its totient is φ = 3557413195776.

The previous prime is 13057276026901. The next prime is 13057276026961. The reversal of 13057276026912 is 21962067275031.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5759714803 + ... + 5759717069.

It is an arithmetic number, because the mean of its divisors is an integer number (54010152000).

Almost surely, 2^{13057276026912} is an apocalyptic number.

13057276026912 is a gapful number since it is divisible by the number (12) 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 13057276026912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20739898368000).

13057276026912 is an abundant number, since it is smaller than the sum of its proper divisors (28422520709088).

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

13057276026912 is a wasteful number, since it uses less digits than its factorization.

13057276026912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2573 (or 2565 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 51.

The spelling of 13057276026912 in words is "thirteen trillion, fifty-seven billion, two hundred seventy-six million, twenty-six thousand, nine hundred twelve".