12872977056 has 192 divisors, whose sum is σ = 38326659840. Its totient is φ = 4202634240.

The previous prime is 12872977049. The next prime is 12872977087. The reversal of 12872977056 is 65077927821.

It is a happy number.

12872977056 is a `hidden beast` number, since 1 + 287 + 297 + 70 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 12872976993 and 12872977011.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10611906 + ... + 10613118.

It is an arithmetic number, because the mean of its divisors is an integer number (199618020).

Almost surely, 2^12872977056 is an apocalyptic number.

12872977056 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 12872977056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19163329920).

12872977056 is an abundant number, since it is smaller than the sum of its proper divisors (25453682784).

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

12872977056 is a wasteful number, since it uses less digits than its factorization.

12872977056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 12872977056 in words is "twelve billion, eight hundred seventy-two million, nine hundred seventy-seven thousand, fifty-six".