12956776889472 has 768 divisors, whose sum is σ = 42037533457920. Its totient is φ = 3948844400640.

The previous prime is 12956776889377. The next prime is 12956776889543. The reversal of 12956776889472 is 27498867765921.

12956776889472 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 6 + 7 + 7 + 68 + 89 + 472 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 12956776889391 and 12956776889400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 34736667078 + ... + 34736667450.

It is an arithmetic number, because the mean of its divisors is an integer number (54736371690).

Almost surely, 2^{12956776889472} is an apocalyptic number.

12956776889472 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 12956776889472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21018766728960).

12956776889472 is an abundant number, since it is smaller than the sum of its proper divisors (29080756568448).

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

12956776889472 is a wasteful number, since it uses less digits than its factorization.

12956776889472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 979 counting only the distinct ones).

The product of its digits is 5120962560, while the sum is 81.

The spelling of 12956776889472 in words is "twelve trillion, nine hundred fifty-six billion, seven hundred seventy-six million, eight hundred eighty-nine thousand, four hundred seventy-two".