255899858227200 has 936 divisors, whose sum is σ = 1007781880974336. Its totient is φ = 61547544576000.

The previous prime is 255899858227199. The next prime is 255899858227207. The reversal of 255899858227200 is 2722858998552.

255899858227200 is a `hidden beast` number, since 255 + 8 + 9 + 98 + 5 + 82 + 2 + 7 + 200 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255899858227207) 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 71 ways as a sum of consecutive naturals, for example, 1287375820 + ... + 1287574580.

It is an arithmetic number, because the mean of its divisors is an integer number (1076690043776).

Almost surely, 2^{255899858227200} is an apocalyptic number.

255899858227200 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 255899858227200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503890940487168).

255899858227200 is an abundant number, since it is smaller than the sum of its proper divisors (751882022747136).

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

255899858227200 is a wasteful number, since it uses less digits than its factorization.

255899858227200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198939 (or 198909 counting only the distinct ones).

The product of its (nonzero) digits is 580608000, while the sum is 72.

The spelling of 255899858227200 in words is "two hundred fifty-five trillion, eight hundred ninety-nine billion, eight hundred fifty-eight million, two hundred twenty-seven thousand, two hundred".