255800142028800 has 3360 divisors, whose sum is σ = 1036415862282240. Its totient is φ = 62433342259200.

The previous prime is 255800142028721. The next prime is 255800142028807. The reversal of 255800142028800 is 8820241008552.

255800142028800 is a `hidden beast` number, since 2 + 5 + 580 + 0 + 1 + 42 + 0 + 28 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255800142028807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2874158899156 + ... + 2874158899244.

Almost surely, 2^{255800142028800} is an apocalyptic number.

255800142028800 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 255800142028800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (518207931141120).

255800142028800 is an abundant number, since it is smaller than the sum of its proper divisors (780615720253440).

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

255800142028800 is an frugal number, since it uses more digits than its factorization.

255800142028800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 45.

The spelling of 255800142028800 in words is "two hundred fifty-five trillion, eight hundred billion, one hundred forty-two million, twenty-eight thousand, eight hundred".