255506023440 has 120 divisors (see below), whose sum is σ = 858727156248. Its totient is φ = 68083107840.

The previous prime is 255506023433. The next prime is 255506023441. The reversal of 255506023440 is 44320605552.

255506023440 is a `hidden beast` number, since 2 + 5 + 5 + 5 + 0 + 602 + 3 + 4 + 40 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 91889009424 + 163617014016 = 303132^2 + 404496^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 255506023395 and 255506023404.

It is not an unprimeable number, because it can be changed into a prime (255506023441) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 816802 + ... + 1085438.

Almost surely, 2^255506023440 is an apocalyptic number.

255506023440 is a gapful number since it is divisible by the number (20) 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 255506023440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429363578124).

255506023440 is an abundant number, since it is smaller than the sum of its proper divisors (603221132808).

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

255506023440 is a wasteful number, since it uses less digits than its factorization.

255506023440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269977 (or 269968 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 255506023440 its reverse (44320605552), we get a palindrome (299826628992).

The spelling of 255506023440 in words is "two hundred fifty-five billion, five hundred six million, twenty-three thousand, four hundred forty".