255703307552 has 288 divisors, whose sum is σ = 665996857344. Its totient is φ = 95454374400.

The previous prime is 255703307543. The next prime is 255703307579.

255703307552 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 47 ways as a sum of consecutive naturals, for example, 55070543 + ... + 55075185.

It is an arithmetic number, because the mean of its divisors is an integer number (2312489088).

Almost surely, 2^255703307552 is an apocalyptic number.

255703307552 is a gapful number since it is divisible by the number (22) 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 255703307552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332998428672).

255703307552 is an abundant number, since it is smaller than the sum of its proper divisors (410293549792).

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

255703307552 is a wasteful number, since it uses less digits than its factorization.

255703307552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4812 (or 4797 counting only the distinct ones).

The product of its (nonzero) digits is 1102500, while the sum is 44.

The spelling of 255703307552 in words is "two hundred fifty-five billion, seven hundred three million, three hundred seven thousand, five hundred fifty-two".