255641344992 has 216 divisors, whose sum is σ = 842467501512. Its totient is φ = 72909926400.

The previous prime is 255641344961. The next prime is 255641344993. The reversal of 255641344992 is 299443146552.

255641344992 is a `hidden beast` number, since 2 + 5 + 564 + 1 + 34 + 49 + 9 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255641344993) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 775942 + ... + 1055162.

It is an arithmetic number, because the mean of its divisors is an integer number (3900312507).

Almost surely, 2^255641344992 is an apocalyptic number.

255641344992 is a gapful number since it is divisible by the number (22) 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 255641344992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (421233750756).

255641344992 is an abundant number, since it is smaller than the sum of its proper divisors (586826156520).

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

255641344992 is a wasteful number, since it uses less digits than its factorization.

255641344992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279282 (or 279254 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 255641344992 in words is "two hundred fifty-five billion, six hundred forty-one million, three hundred forty-four thousand, nine hundred ninety-two".