255593981952 has 384 divisors, whose sum is σ = 801162835200. Its totient is φ = 80348184576.

The previous prime is 255593981947. The next prime is 255593981959. The reversal of 255593981952 is 259189395552.

255593981952 is a `hidden beast` number, since 2 + 5 + 5 + 59 + 398 + 195 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×255593981952² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 255593981952.

It is not an unprimeable number, because it can be changed into a prime (255593981959) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92840608 + ... + 92843360.

It is an arithmetic number, because the mean of its divisors is an integer number (2086361550).

Almost surely, 2^255593981952 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 255593981952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400581417600).

255593981952 is an abundant number, since it is smaller than the sum of its proper divisors (545568853248).

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

255593981952 is a wasteful number, since it uses less digits than its factorization.

255593981952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2880 (or 2854 counting only the distinct ones).

The product of its digits is 43740000, while the sum is 63.

The spelling of 255593981952 in words is "two hundred fifty-five billion, five hundred ninety-three million, nine hundred eighty-one thousand, nine hundred fifty-two".