257872652208 has 120 divisors (see below), whose sum is σ = 736591277760. Its totient is φ = 84193966080.

The previous prime is 257872652201. The next prime is 257872652227. The reversal of 257872652208 is 802256278752.

257872652208 is a `hidden beast` number, since 2 + 578 + 7 + 2 + 65 + 2 + 2 + 0 + 8 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (257872652201) 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, 2037960 + ... + 2160792.

It is an arithmetic number, because the mean of its divisors is an integer number (6138260648).

Almost surely, 2^257872652208 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 257872652208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368295638880).

257872652208 is an abundant number, since it is smaller than the sum of its proper divisors (478718625552).

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

257872652208 is a wasteful number, since it uses less digits than its factorization.

257872652208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123147 (or 123138 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 257872652208 in words is "two hundred fifty-seven billion, eight hundred seventy-two million, six hundred fifty-two thousand, two hundred eight".