257785691076 has 135 divisors (see below), whose sum is σ = 685739916477. Its totient is φ = 84444988320.

The previous prime is 257785690963. The next prime is 257785691099. The reversal of 257785691076 is 670196587752.

The square root of 257785691076 is 507726.

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

257785691076 is a `hidden beast` number, since 2 + 57 + 7 + 8 + 569 + 10 + 7 + 6 = 666.

257785691076 is digitally balanced in base 2 and base 3, because in such bases 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., 1223180676 + 256562510400 = 34974^2 + 506520^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 612317346 + ... + 612317766.

Almost surely, 2^257785691076 is an apocalyptic number.

257785691076 is the 507726-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257785691076

257785691076 is an abundant number, since it is smaller than the sum of its proper divisors (427954225401).

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

257785691076 is an frugal number, since it uses more digits than its factorization.

257785691076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 63.

The spelling of 257785691076 in words is "two hundred fifty-seven billion, seven hundred eighty-five million, six hundred ninety-one thousand, seventy-six".