255653776224 has 576 divisors, whose sum is σ = 941280238080. Its totient is φ = 63866880000.

The previous prime is 255653776219. The next prime is 255653776241. The reversal of 255653776224 is 422677356552.

255653776224 is a `hidden beast` number, since 2 + 5 + 5 + 6 + 5 + 3 + 7 + 7 + 622 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

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, 212866824 + ... + 212868024.

It is an arithmetic number, because the mean of its divisors is an integer number (1634167080).

Almost surely, 2^255653776224 is an apocalyptic number.

255653776224 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 255653776224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470640119040).

255653776224 is an abundant number, since it is smaller than the sum of its proper divisors (685626461856).

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

255653776224 is a wasteful number, since it uses less digits than its factorization.

255653776224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1584 counting only the distinct ones).

The product of its digits is 21168000, while the sum is 54.

The spelling of 255653776224 in words is "two hundred fifty-five billion, six hundred fifty-three million, seven hundred seventy-six thousand, two hundred twenty-four".