255668680800 has 1152 divisors, whose sum is σ = 1073451294720. Its totient is φ = 58210099200.

The previous prime is 255668680793. The next prime is 255668680801. The reversal of 255668680800 is 8086866552.

255668680800 is a `hidden beast` number, since 2 + 556 + 6 + 8 + 6 + 8 + 0 + 80 + 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 not an unprimeable number, because it can be changed into a prime (255668680801) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 200209762 + ... + 200211038.

It is an arithmetic number, because the mean of its divisors is an integer number (931815360).

Almost surely, 2^255668680800 is an apocalyptic number.

255668680800 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 255668680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (536725647360).

255668680800 is an abundant number, since it is smaller than the sum of its proper divisors (817782613920).

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

255668680800 is a wasteful number, since it uses less digits than its factorization.

255668680800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1373 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 255668680800 in words is "two hundred fifty-five billion, six hundred sixty-eight million, six hundred eighty thousand, eight hundred".