255122899200 has 324 divisors, whose sum is σ = 982288054020. Its totient is φ = 62799298560.

The previous prime is 255122899193. The next prime is 255122899201. The reversal of 255122899200 is 2998221552.

It is a happy number.

255122899200 is a `hidden beast` number, since 2 + 5 + 512 + 28 + 99 + 20 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 71020118016 + 184102781184 = 266496^2 + 429072^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (255122899201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 578446 + ... + 919154.

Almost surely, 2^255122899200 is an apocalyptic number.

255122899200 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 255122899200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491144027010).

255122899200 is an abundant number, since it is smaller than the sum of its proper divisors (727165154820).

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

255122899200 is a wasteful number, since it uses less digits than its factorization.

255122899200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340754 (or 340732 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 255122899200 in words is "two hundred fifty-five billion, one hundred twenty-two million, eight hundred ninety-nine thousand, two hundred".