255205818000 has 360 divisors, whose sum is σ = 1036878780600. Its totient is φ = 58332556800.

The previous prime is 255205817959. The next prime is 255205818037. The reversal of 255205818000 is 818502552.

255205818000 is a `hidden beast` number, since 2 + 5 + 520 + 58 + 1 + 80 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2204865936 + 253000952064 = 46956^2 + 502992^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 737326 + ... + 1026674.

It is an arithmetic number, because the mean of its divisors is an integer number (2880218835).

Almost surely, 2^255205818000 is an apocalyptic number.

255205818000 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 255205818000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518439390300).

255205818000 is an abundant number, since it is smaller than the sum of its proper divisors (781672962600).

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

255205818000 is a wasteful number, since it uses less digits than its factorization.

255205818000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289392 (or 289366 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The spelling of 255205818000 in words is "two hundred fifty-five billion, two hundred five million, eight hundred eighteen thousand".