12575556864 has 216 divisors, whose sum is σ = 39443636232. Its totient is φ = 3830169600.

The previous prime is 12575556857. The next prime is 12575556869. The reversal of 12575556864 is 46865557521.

12575556864 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 5 + 556 + 86 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2559550464 + 10016006400 = 50592^2 + 100080^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12575556864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12575556869) 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, 3023074 + ... + 3027230.

It is an arithmetic number, because the mean of its divisors is an integer number (182609427).

Almost surely, 2^12575556864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12575556864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19721818116).

12575556864 is an abundant number, since it is smaller than the sum of its proper divisors (26868079368).

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

12575556864 is a wasteful number, since it uses less digits than its factorization.

12575556864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4293 (or 4276 counting only the distinct ones).

The product of its digits is 10080000, while the sum is 54.

The spelling of 12575556864 in words is "twelve billion, five hundred seventy-five million, five hundred fifty-six thousand, eight hundred sixty-four".