255225008430 has 320 divisors, whose sum is σ = 831802245120. Its totient is φ = 54815947776.

The previous prime is 255225008393. The next prime is 255225008449. The reversal of 255225008430 is 34800522552.

It is a happy number.

255225008430 is a `hidden beast` number, since 2 + 5 + 522 + 50 + 0 + 84 + 3 + 0 = 666.

255225008430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 71230419 + ... + 71234001.

It is an arithmetic number, because the mean of its divisors is an integer number (2599382016).

Almost surely, 2^255225008430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255225008430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (415901122560).

255225008430 is an abundant number, since it is smaller than the sum of its proper divisors (576577236690).

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

255225008430 is a wasteful number, since it uses less digits than its factorization.

255225008430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4365 (or 4356 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 255225008430 in words is "two hundred fifty-five billion, two hundred twenty-five million, eight thousand, four hundred thirty".