255275349984 has 192 divisors, whose sum is σ = 784639296000. Its totient is φ = 80520791040.

The previous prime is 255275349977. The next prime is 255275349991. The reversal of 255275349984 is 489943572552.

255275349984 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 7 + 534 + 9 + 98 + 4 = 666.

255275349984 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (255275349977) and next prime (255275349991).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15077844 + ... + 15094764.

It is an arithmetic number, because the mean of its divisors is an integer number (4086663000).

Almost surely, 2^255275349984 is an apocalyptic number.

255275349984 is a gapful number since it is divisible by the number (24) 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 255275349984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392319648000).

255275349984 is an abundant number, since it is smaller than the sum of its proper divisors (529363946016).

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

255275349984 is a wasteful number, since it uses less digits than its factorization.

255275349984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17878 (or 17864 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 255275349984 in words is "two hundred fifty-five billion, two hundred seventy-five million, three hundred forty-nine thousand, nine hundred eighty-four".