257729952168 has 256 divisors, whose sum is σ = 784143360000. Its totient is φ = 77953404672.

The previous prime is 257729952167. The next prime is 257729952173. The reversal of 257729952168 is 861259927752.

257729952168 is a `hidden beast` number, since 2 + 577 + 2 + 9 + 9 + 52 + 1 + 6 + 8 = 666.

257729952168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (257729952167) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 112692321 + ... + 112694607.

It is an arithmetic number, because the mean of its divisors is an integer number (3063060000).

Almost surely, 2^257729952168 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 257729952168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392071680000).

257729952168 is an abundant number, since it is smaller than the sum of its proper divisors (526413407832).

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

257729952168 is a wasteful number, since it uses less digits than its factorization.

257729952168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2971 counting only the distinct ones).

The product of its digits is 38102400, while the sum is 63.

The spelling of 257729952168 in words is "two hundred fifty-seven billion, seven hundred twenty-nine million, nine hundred fifty-two thousand, one hundred sixty-eight".