12857964128576 has 112 divisors (see below), whose sum is σ = 29562460072320. Its totient is φ = 5434520739840.

The previous prime is 12857964128563. The next prime is 12857964128579. The reversal of 12857964128576 is 67582146975821.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Smith number, since the sum of its digits (71) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12857964128579) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 640039940 + ... + 640060028.

It is an arithmetic number, because the mean of its divisors is an integer number (263950536360).

Almost surely, 2^{12857964128576} is an apocalyptic number.

12857964128576 is a gapful number since it is divisible by the number (16) 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 12857964128576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14781230036160).

12857964128576 is an abundant number, since it is smaller than the sum of its proper divisors (16704495943744).

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

12857964128576 is a wasteful number, since it uses less digits than its factorization.

12857964128576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39752 (or 39742 counting only the distinct ones).

The product of its digits is 406425600, while the sum is 71.

The spelling of 12857964128576 in words is "twelve trillion, eight hundred fifty-seven billion, nine hundred sixty-four million, one hundred twenty-eight thousand, five hundred seventy-six".