12750617520256 has 128 divisors (see below), whose sum is σ = 31677470161920. Its totient is φ = 4966531200000.

The previous prime is 12750617520253. The next prime is 12750617520271. The reversal of 12750617520256 is 65202571605721.

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

It is not an unprimeable number, because it can be changed into a prime (12750617520253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39766981 + ... + 40086331.

It is an arithmetic number, because the mean of its divisors is an integer number (247480235640).

Almost surely, 2^{12750617520256} is an apocalyptic number.

12750617520256 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 12750617520256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15838735080960).

12750617520256 is an abundant number, since it is smaller than the sum of its proper divisors (18926852641664).

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

12750617520256 is a wasteful number, since it uses less digits than its factorization.

12750617520256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323434 (or 323422 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 49.

The spelling of 12750617520256 in words is "twelve trillion, seven hundred fifty billion, six hundred seventeen million, five hundred twenty thousand, two hundred fifty-six".