260128512 has 162 divisors, whose sum is σ = 863962008. Its totient is φ = 73737216.

The previous prime is 260128511. The next prime is 260128541. The reversal of 260128512 is 215821062.

It is a happy number.

260128512 is a `hidden beast` number, since 2 + 601 + 2 + 8 + 51 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (260128511) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2048193 + ... + 2048319.

Almost surely, 2^260128512 is an apocalyptic number.

It is a pronic number, being equal to 16128×16129.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 260128512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431981004).

260128512 is an abundant number, since it is smaller than the sum of its proper divisors (603833496).

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

260128512 is an equidigital number, since it uses as much as digits as its factorization.

260128512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 260128512 is about 16128.4999922497. The cubic root of 260128512 is about 638.3555700513.

Adding to 260128512 its reverse (215821062), we get a palindrome (475949574).

It can be divided in two parts, 2601 and 28512, that added together give a palindrome (31113).

The spelling of 260128512 in words is "two hundred sixty million, one hundred twenty-eight thousand, five hundred twelve".