255439920384 has 1152 divisors, whose sum is σ = 917150976000. Its totient is φ = 70140764160.

The previous prime is 255439920383. The next prime is 255439920433. The reversal of 255439920384 is 483029934552.

255439920384 is a `hidden beast` number, since 2 + 5 + 543 + 9 + 92 + 0 + 3 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a self number, because there is not a number n which added to its sum of digits gives 255439920384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255439920383) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4329490147 + ... + 4329490205.

It is an arithmetic number, because the mean of its divisors is an integer number (796138000).

Almost surely, 2^255439920384 is an apocalyptic number.

255439920384 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 255439920384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (458575488000).

255439920384 is an abundant number, since it is smaller than the sum of its proper divisors (661711055616).

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

255439920384 is an equidigital number, since it uses as much as digits as its factorization.

255439920384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 54.

The spelling of 255439920384 in words is "two hundred fifty-five billion, four hundred thirty-nine million, nine hundred twenty thousand, three hundred eighty-four".