12575824128 has 270 divisors, whose sum is σ = 43624614726. Its totient is φ = 3592802304.

The previous prime is 12575824123. The next prime is 12575824141. The reversal of 12575824128 is 82142857521.

12575824128 is a `hidden beast` number, since 1 + 2 + 5 + 7 + 582 + 41 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8414025984 + 4161798144 = 91728^2 + 64512^2 .

It is not an unprimeable number, because it can be changed into a prime (12575824123) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1009876 + ... + 1022252.

Almost surely, 2^12575824128 is an apocalyptic number.

12575824128 is a gapful number since it is divisible by the number (18) 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 12575824128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21812307363).

12575824128 is an abundant number, since it is smaller than the sum of its proper divisors (31048790598).

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

12575824128 is an equidigital number, since it uses as much as digits as its factorization.

12575824128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12419 (or 12389 counting only the distinct ones).

The product of its digits is 358400, while the sum is 45.

The spelling of 12575824128 in words is "twelve billion, five hundred seventy-five million, eight hundred twenty-four thousand, one hundred twenty-eight".