255008840256 has 189 divisors, whose sum is σ = 746869541691. Its totient is φ = 83189044224.

The previous prime is 255008840243. The next prime is 255008840257. The reversal of 255008840256 is 652048800552.

It is a happy number.

The square root of 255008840256 is 504984.

It is a perfect power (a square), and thus also a powerful number.

255008840256 is a `hidden beast` number, since 2 + 5 + 500 + 88 + 40 + 25 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 39118510656 + 215890329600 = 197784^2 + 464640^2 .

It is a super-2 number, since 2×255008840256² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (255008840257) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 642339450 + ... + 642339846.

Almost surely, 2^255008840256 is an apocalyptic number.

255008840256 is the 504984-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255008840256

255008840256 is an abundant number, since it is smaller than the sum of its proper divisors (491860701435).

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

255008840256 is an frugal number, since it uses more digits than its factorization.

255008840256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 255008840256 in words is "two hundred fifty-five billion, eight million, eight hundred forty thousand, two hundred fifty-six".