255827188920000 has 560 divisors, whose sum is σ = 858148022730240. Its totient is φ = 67228222464000.

The previous prime is 255827188919999. The next prime is 255827188920007. The reversal of 255827188920000 is 29881728552.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (255827188920007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10713468061 + ... + 10713491939.

Almost surely, 2^{255827188920000} is an apocalyptic number.

255827188920000 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 255827188920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429074011365120).

255827188920000 is an abundant number, since it is smaller than the sum of its proper divisors (602320833810240).

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

255827188920000 is a wasteful number, since it uses less digits than its factorization.

255827188920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25210 (or 25185 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 57.

The spelling of 255827188920000 in words is "two hundred fifty-five trillion, eight hundred twenty-seven billion, one hundred eighty-eight million, nine hundred twenty thousand".