255268471645824 has 512 divisors, whose sum is σ = 837334326528000. Its totient is φ = 67097708052480.

The previous prime is 255268471645807. The next prime is 255268471645843. The reversal of 255268471645824 is 428546174862552.

It is a hoax number, since the sum of its digits (69) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20805965962 + ... + 20805978230.

It is an arithmetic number, because the mean of its divisors is an integer number (1635418606500).

Almost surely, 2^{255268471645824} is an apocalyptic number.

255268471645824 is a gapful number since it is divisible by the number (24) 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 255268471645824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (418667163264000).

255268471645824 is an abundant number, since it is smaller than the sum of its proper divisors (582065854882176).

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

255268471645824 is a wasteful number, since it uses less digits than its factorization.

255268471645824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14256 (or 14244 counting only the distinct ones).

The product of its digits is 1032192000, while the sum is 69.

The spelling of 255268471645824 in words is "two hundred fifty-five trillion, two hundred sixty-eight billion, four hundred seventy-one million, six hundred forty-five thousand, eight hundred twenty-four".