255509120 has 64 divisors (see below), whose sum is σ = 619539840. Its totient is φ = 100746240.

The previous prime is 255509119. The next prime is 255509251. The reversal of 255509120 is 21905552.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42629 + ... + 48251.

It is an arithmetic number, because the mean of its divisors is an integer number (9680310).

Almost surely, 2^255509120 is an apocalyptic number.

255509120 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 255509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309769920).

255509120 is an abundant number, since it is smaller than the sum of its proper divisors (364030720).

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

255509120 is an equidigital number, since it uses as much as digits as its factorization.

255509120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5713 (or 5701 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 255509120 is about 15984.6526393288. The cubic root of 255509120 is about 634.5543155720.

The spelling of 255509120 in words is "two hundred fifty-five million, five hundred nine thousand, one hundred twenty".