255672460224 has 336 divisors, whose sum is σ = 778139281920. Its totient is φ = 80158740480.

The previous prime is 255672460207. The next prime is 255672460247. The reversal of 255672460224 is 422064276552.

It is a happy number.

255672460224 is a `hidden beast` number, since 2 + 5 + 567 + 2 + 4 + 60 + 2 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 255672460224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80221959 + ... + 80225145.

It is an arithmetic number, because the mean of its divisors is an integer number (2315890720).

Almost surely, 2^255672460224 is an apocalyptic number.

255672460224 is a gapful number since it is divisible by the number (24) 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 255672460224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389069640960).

255672460224 is an abundant number, since it is smaller than the sum of its proper divisors (522466821696).

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

255672460224 is a wasteful number, since it uses less digits than its factorization.

255672460224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3368 (or 3355 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 45.

The spelling of 255672460224 in words is "two hundred fifty-five billion, six hundred seventy-two million, four hundred sixty thousand, two hundred twenty-four".