255372785824128 has 256 divisors, whose sum is σ = 818301417024000. Its totient is φ = 69123455834112.

The previous prime is 255372785824049. The next prime is 255372785824129. The reversal of 255372785824128 is 821428587273552.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255372785824129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11511438 + ... + 25362546.

It is an arithmetic number, because the mean of its divisors is an integer number (3196489910250).

Almost surely, 2^{255372785824128} is an apocalyptic number.

255372785824128 is a gapful number since it is divisible by the number (28) 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 255372785824128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409150708512000).

255372785824128 is an abundant number, since it is smaller than the sum of its proper divisors (562928631199872).

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

255372785824128 is an equidigital number, since it uses as much as digits as its factorization.

255372785824128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13851190 (or 13851140 counting only the distinct ones).

The product of its digits is 602112000, while the sum is 69.

The spelling of 255372785824128 in words is "two hundred fifty-five trillion, three hundred seventy-two billion, seven hundred eighty-five million, eight hundred twenty-four thousand, one hundred twenty-eight".