255987164160 has 3168 divisors, whose sum is σ = 1284327757440. Its totient is φ = 48157949952.

The previous prime is 255987164149. The next prime is 255987164161. The reversal of 255987164160 is 61461789552.

It is a happy number.

255987164160 is a `hidden beast` number, since 2 + 5 + 598 + 7 + 1 + 6 + 41 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 255987164097 and 255987164106.

It is not an unprimeable number, because it can be changed into a prime (255987164161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 13473008631 + ... + 13473008649.

Almost surely, 2^255987164160 is an apocalyptic number.

255987164160 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 255987164160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (642163878720).

255987164160 is an abundant number, since it is smaller than the sum of its proper divisors (1028340593280).

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

255987164160 is a wasteful number, since it uses less digits than its factorization.

255987164160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 255987164160 in words is "two hundred fifty-five billion, nine hundred eighty-seven million, one hundred sixty-four thousand, one hundred sixty".