12758028541056 has 192 divisors, whose sum is σ = 38108565331200. Its totient is φ = 4092499445760.

The previous prime is 12758028541051. The next prime is 12758028541109. The reversal of 12758028541056 is 65014582085721.

12758028541056 is a `hidden beast` number, since 1 + 2 + 7 + 580 + 2 + 8 + 5 + 4 + 1 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 12758028540993 and 12758028541011.

It is not an unprimeable number, because it can be changed into a prime (12758028541051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5394550 + ... + 7390346.

It is an arithmetic number, because the mean of its divisors is an integer number (198482111100).

Almost surely, 2^{12758028541056} is an apocalyptic number.

12758028541056 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 12758028541056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19054282665600).

12758028541056 is an abundant number, since it is smaller than the sum of its proper divisors (25350536790144).

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

12758028541056 is a wasteful number, since it uses less digits than its factorization.

12758028541056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1996027 (or 1996012 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 54.

The spelling of 12758028541056 in words is "twelve trillion, seven hundred fifty-eight billion, twenty-eight million, five hundred forty-one thousand, fifty-six".