255314928960 has 1792 divisors, whose sum is σ = 1186896076800. Its totient is φ = 50791587840.

The previous prime is 255314928929. The next prime is 255314928989. The reversal of 255314928960 is 69829413552.

255314928960 is a `hidden beast` number, since 2 + 5 + 531 + 49 + 2 + 8 + 9 + 60 = 666.

255314928960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 255314928897 and 255314928906.

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 255 ways as a sum of consecutive naturals, for example, 1210023255 + ... + 1210023465.

It is an arithmetic number, because the mean of its divisors is an integer number (662330400).

Almost surely, 2^255314928960 is an apocalyptic number.

255314928960 is a gapful number since it is divisible by the number (20) 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 255314928960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (593448038400).

255314928960 is an abundant number, since it is smaller than the sum of its proper divisors (931581147840).

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

255314928960 is a wasteful number, since it uses less digits than its factorization.

255314928960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 54.

The spelling of 255314928960 in words is "two hundred fifty-five billion, three hundred fourteen million, nine hundred twenty-eight thousand, nine hundred sixty".