255894255267840 has 3744 divisors, whose sum is σ = 1110065750277120. Its totient is φ = 56345693257728.

The previous prime is 255894255267839. The next prime is 255894255267863. The reversal of 255894255267840 is 48762552498552.

255894255267840 is a `hidden beast` number, since 2 + 5 + 5 + 8 + 9 + 4 + 2 + 552 + 67 + 8 + 4 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 287 ways as a sum of consecutive naturals, for example, 951279759226 + ... + 951279759494.

It is an arithmetic number, because the mean of its divisors is an integer number (296491920480).

Almost surely, 2^{255894255267840} is an apocalyptic number.

255894255267840 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 255894255267840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (555032875138560).

255894255267840 is an abundant number, since it is smaller than the sum of its proper divisors (854171495009280).

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

255894255267840 is an equidigital number, since it uses as much as digits as its factorization.

255894255267840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1935360000, while the sum is 72.

The spelling of 255894255267840 in words is "two hundred fifty-five trillion, eight hundred ninety-four billion, two hundred fifty-five million, two hundred sixty-seven thousand, eight hundred forty".