12511040256 has 648 divisors, whose sum is σ = 44814422016. Its totient is φ = 3321077760.

The previous prime is 12511040207. The next prime is 12511040293. The reversal of 12511040256 is 65204011521.

12511040256 is a `hidden beast` number, since 1 + 251 + 1 + 0 + 402 + 5 + 6 = 666.

It is a super-2 number, since 2×12511040256² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 98512065 + ... + 98512191.

Almost surely, 2^12511040256 is an apocalyptic number.

12511040256 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 12511040256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22407211008).

12511040256 is an abundant number, since it is smaller than the sum of its proper divisors (32303381760).

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

12511040256 is a wasteful number, since it uses less digits than its factorization.

12511040256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

Adding to 12511040256 its reverse (65204011521), we get a palindrome (77715051777).

The spelling of 12511040256 in words is "twelve billion, five hundred eleven million, forty thousand, two hundred fifty-six".