255854249280 has 1344 divisors, whose sum is σ = 1132041830400. Its totient is φ = 51697336320.

The previous prime is 255854249279. The next prime is 255854249293. The reversal of 255854249280 is 82942458552.

255854249280 is a `hidden beast` number, since 2 + 5 + 5 + 8 + 542 + 4 + 92 + 8 + 0 = 666.

255854249280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×255854249280² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 344352589 + ... + 344353331.

Almost surely, 2^255854249280 is an apocalyptic number.

255854249280 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 255854249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566020915200).

255854249280 is an abundant number, since it is smaller than the sum of its proper divisors (876187581120).

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

255854249280 is a wasteful number, since it uses less digits than its factorization.

255854249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 9216000, while the sum is 54.

The spelling of 255854249280 in words is "two hundred fifty-five billion, eight hundred fifty-four million, two hundred forty-nine thousand, two hundred eighty".