255345707232 has 768 divisors, whose sum is σ = 949572771840. Its totient is φ = 64840089600.

The previous prime is 255345707161. The next prime is 255345707293. The reversal of 255345707232 is 232707543552.

It is a happy number.

255345707232 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 4 + 570 + 72 + 3 + 2 = 666.

255345707232 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 127 ways as a sum of consecutive naturals, for example, 723358768 + ... + 723359120.

It is an arithmetic number, because the mean of its divisors is an integer number (1236422880).

Almost surely, 2^255345707232 is an apocalyptic number.

255345707232 is a gapful number since it is divisible by the number (22) 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 255345707232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474786385920).

255345707232 is an abundant number, since it is smaller than the sum of its proper divisors (694227064608).

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

255345707232 is a wasteful number, since it uses less digits than its factorization.

255345707232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 45.

The spelling of 255345707232 in words is "two hundred fifty-five billion, three hundred forty-five million, seven hundred seven thousand, two hundred thirty-two".