255930762816 has 189 divisors, whose sum is σ = 744277237249. Its totient is φ = 84083962368.

The previous prime is 255930762809. The next prime is 255930762847. The reversal of 255930762816 is 618267039552.

The square root of 255930762816 is 505896.

It is a perfect power (a square), and thus also a powerful number.

255930762816 is a `hidden beast` number, since 2 + 5 + 5 + 9 + 3 + 0 + 7 + 628 + 1 + 6 = 666.

255930762816 is digitally balanced in base 3, 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 only one way, i.e., 250760577600 + 5170185216 = 500760^2 + 71904^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 1299140830 + ... + 1299141026.

Almost surely, 2^255930762816 is an apocalyptic number.

255930762816 is the 505896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 255930762816

255930762816 is an abundant number, since it is smaller than the sum of its proper divisors (488346474433).

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

255930762816 is an equidigital number, since it uses as much as digits as its factorization.

255930762816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 255930762816 in words is "two hundred fifty-five billion, nine hundred thirty million, seven hundred sixty-two thousand, eight hundred sixteen".