255888534240 has 768 divisors, whose sum is σ = 989279827200. Its totient is φ = 61485613056.

The previous prime is 255888534233. The next prime is 255888534263. The reversal of 255888534240 is 42435888552.

255888534240 is a `hidden beast` number, since 2 + 5 + 5 + 8 + 88 + 534 + 24 + 0 = 666.

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

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 127 ways as a sum of consecutive naturals, for example, 291776682 + ... + 291777558.

It is an arithmetic number, because the mean of its divisors is an integer number (1288124775).

Almost surely, 2^255888534240 is an apocalyptic number.

255888534240 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 255888534240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (494639913600).

255888534240 is an abundant number, since it is smaller than the sum of its proper divisors (733391292960).

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

255888534240 is a wasteful number, since it uses less digits than its factorization.

255888534240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 12288000, while the sum is 54.

The spelling of 255888534240 in words is "two hundred fifty-five billion, eight hundred eighty-eight million, five hundred thirty-four thousand, two hundred forty".