12826042083456 has 128 divisors (see below), whose sum is σ = 38937490575360. Its totient is φ = 3664461911040.

The previous prime is 12826042083401. The next prime is 12826042083499. The reversal of 12826042083456 is 65438024062821.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 12826042083399 and 12826042083408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108888465 + ... + 109006191.

It is an arithmetic number, because the mean of its divisors is an integer number (304199145120).

Almost surely, 2^{12826042083456} is an apocalyptic number.

12826042083456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12826042083456 is an abundant number, since it is smaller than the sum of its proper divisors (26111448491904).

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

12826042083456 is a wasteful number, since it uses less digits than its factorization.

12826042083456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158282 (or 158270 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 51.

The spelling of 12826042083456 in words is "twelve trillion, eight hundred twenty-six billion, forty-two million, eighty-three thousand, four hundred fifty-six".