255339813307488 has 1152 divisors, whose sum is σ = 859799841320448. Its totient is φ = 65749369061376.

The previous prime is 255339813307427. The next prime is 255339813307499. The reversal of 255339813307488 is 884703318933552.

255339813307488 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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 272507804556 + ... + 272507805492.

It is an arithmetic number, because the mean of its divisors is an integer number (746354028924).

Almost surely, 2^{255339813307488} is an apocalyptic number.

255339813307488 is a gapful number since it is divisible by the number (28) 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 255339813307488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429899920660224).

255339813307488 is an abundant number, since it is smaller than the sum of its proper divisors (604460028012960).

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

255339813307488 is a wasteful number, since it uses less digits than its factorization.

255339813307488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1564 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 522547200, while the sum is 69.

The spelling of 255339813307488 in words is "two hundred fifty-five trillion, three hundred thirty-nine billion, eight hundred thirteen million, three hundred seven thousand, four hundred eighty-eight".