255218584320 has 1008 divisors, whose sum is σ = 1074187179072. Its totient is φ = 56853135360.

The previous prime is 255218584319. The next prime is 255218584333. The reversal of 255218584320 is 23485812552.

255218584320 is a `hidden beast` number, since 2 + 5 + 52 + 18 + 584 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 111 ways as a sum of consecutive naturals, for example, 267804964 + ... + 267805916.

It is an arithmetic number, because the mean of its divisors is an integer number (1065661884).

Almost surely, 2^255218584320 is an apocalyptic number.

255218584320 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 255218584320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537093589536).

255218584320 is an abundant number, since it is smaller than the sum of its proper divisors (818968594752).

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

255218584320 is an frugal number, since it uses more digits than its factorization.

255218584320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 255218584320 in words is "two hundred fifty-five billion, two hundred eighteen million, five hundred eighty-four thousand, three hundred twenty".