255585120 has 384 divisors, whose sum is σ = 989936640. Its totient is φ = 54190080.

The previous prime is 255585097. The next prime is 255585139. The reversal of 255585120 is 21585552.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4189890 + ... + 4189950.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2^255585120 is an apocalyptic number.

255585120 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 255585120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494968320).

255585120 is an abundant number, since it is smaller than the sum of its proper divisors (734351520).

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

255585120 is a wasteful number, since it uses less digits than its factorization.

255585120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 33.

The square root of 255585120 is about 15987.0297428885. The cubic root of 255585120 is about 634.6172244123.

The spelling of 255585120 in words is "two hundred fifty-five million, five hundred eighty-five thousand, one hundred twenty".