255238001568 has 288 divisors, whose sum is σ = 827480489472. Its totient is φ = 73871424000.

The previous prime is 255238001561. The next prime is 255238001587. The reversal of 255238001568 is 865100832552.

255238001568 is a `hidden beast` number, since 2 + 5 + 5 + 2 + 3 + 80 + 0 + 1 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (255238001561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57341743 + ... + 57346193.

It is an arithmetic number, because the mean of its divisors is an integer number (2873196144).

Almost surely, 2^255238001568 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 255238001568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413740244736).

255238001568 is an abundant number, since it is smaller than the sum of its proper divisors (572242487904).

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

255238001568 is a wasteful number, since it uses less digits than its factorization.

255238001568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5288 (or 5277 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 255238001568 in words is "two hundred fifty-five billion, two hundred thirty-eight million, one thousand, five hundred sixty-eight".