255889653408 has 144 divisors (see below), whose sum is σ = 760541843880. Its totient is φ = 81506009088.

The previous prime is 255889653407. The next prime is 255889653421. The reversal of 255889653408 is 804356988552.

255889653408 is a `hidden beast` number, since 2 + 5 + 5 + 8 + 8 + 96 + 534 + 0 + 8 = 666.

255889653408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 230757258384 + 25132395024 = 480372^2 + 158532^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (255889653403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 652216 + ... + 968072.

Almost surely, 2^255889653408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255889653408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380270921940).

255889653408 is an abundant number, since it is smaller than the sum of its proper divisors (504652190472).

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

255889653408 is a wasteful number, since it uses less digits than its factorization.

255889653408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315999 (or 315988 counting only the distinct ones).

The product of its (nonzero) digits is 82944000, while the sum is 63.

The spelling of 255889653408 in words is "two hundred fifty-five billion, eight hundred eighty-nine million, six hundred fifty-three thousand, four hundred eight".