255010305600 has 252 divisors, whose sum is σ = 923470861716. Its totient is φ = 66719477760.

The previous prime is 255010305581. The next prime is 255010305619. The reversal of 255010305600 is 6503010552.

255010305600 is a `hidden beast` number, since 2 + 5 + 50 + 1 + 0 + 3 + 0 + 5 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (255010305581) and next prime (255010305619).

It can be written as a sum of positive squares in 6 ways, for example, as 30493541376 + 224516764224 = 174624^2 + 473832^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 596134 + ... + 930266.

Almost surely, 2^255010305600 is an apocalyptic number.

255010305600 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 255010305600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461735430858).

255010305600 is an abundant number, since it is smaller than the sum of its proper divisors (668460556116).

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

255010305600 is a wasteful number, since it uses less digits than its factorization.

255010305600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334214 (or 334196 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 255010305600 in words is "two hundred fifty-five billion, ten million, three hundred five thousand, six hundred".