255310066368 has 1120 divisors, whose sum is σ = 941788108800. Its totient is φ = 66844237824.

The previous prime is 255310066367. The next prime is 255310066381. The reversal of 255310066368 is 863660013552.

255310066368 is a `hidden beast` number, since 2 + 5 + 5 + 3 + 1 + 0 + 0 + 6 + 636 + 8 = 666.

255310066368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×255310066368² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (255310066367) 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 159 ways as a sum of consecutive naturals, for example, 3076024855 + ... + 3076024937.

It is an arithmetic number, because the mean of its divisors is an integer number (840882240).

Almost surely, 2^255310066368 is an apocalyptic number.

255310066368 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 255310066368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470894054400).

255310066368 is an abundant number, since it is smaller than the sum of its proper divisors (686478042432).

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

255310066368 is a wasteful number, since it uses less digits than its factorization.

255310066368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 255310066368 in words is "two hundred fifty-five billion, three hundred ten million, sixty-six thousand, three hundred sixty-eight".