255796340800 has 672 divisors, whose sum is σ = 859734973440. Its totient is φ = 72321638400.

The previous prime is 255796340797. The next prime is 255796340801. The reversal of 255796340800 is 8043697552.

It is not an unprimeable number, because it can be changed into a prime (255796340801) 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 95 ways as a sum of consecutive naturals, for example, 94493047 + ... + 94495753.

It is an arithmetic number, because the mean of its divisors is an integer number (1279367520).

Almost surely, 2^255796340800 is an apocalyptic number.

255796340800 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 255796340800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429867486720).

255796340800 is an abundant number, since it is smaller than the sum of its proper divisors (603938632640).

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

255796340800 is a wasteful number, since it uses less digits than its factorization.

255796340800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2819 (or 2804 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 49.

The spelling of 255796340800 in words is "two hundred fifty-five billion, seven hundred ninety-six million, three hundred forty thousand, eight hundred".