255218727820800 has 480 divisors, whose sum is σ = 893666657030400. Its totient is φ = 63985045340160.

The previous prime is 255218727820799. The next prime is 255218727820867. The reversal of 255218727820800 is 8028727812552.

It is a tau number, because it is divible by the number of its divisors (480).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 599710491 + ... + 600135909.

It is an arithmetic number, because the mean of its divisors is an integer number (1861805535480).

Almost surely, 2^{255218727820800} is an apocalyptic number.

255218727820800 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 255218727820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446833328515200).

255218727820800 is an abundant number, since it is smaller than the sum of its proper divisors (638447929209600).

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

255218727820800 is a wasteful number, since it uses less digits than its factorization.

255218727820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426386 (or 426365 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 57.

The spelling of 255218727820800 in words is "two hundred fifty-five trillion, two hundred eighteen billion, seven hundred twenty-seven million, eight hundred twenty thousand, eight hundred".