257281828096 has 36 divisors (see below), whose sum is σ = 518270252500. Its totient is φ = 127460708352.

The previous prime is 257281828033. The next prime is 257281828117. The reversal of 257281828096 is 690828182752.

It can be written as a sum of positive squares in 2 ways, for example, as 227719840000 + 29561988096 = 477200^2 + 171936^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 257281828096.

It is a congruent 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 3 ways as a sum of consecutive naturals, for example, 4582221 + ... + 4638028.

Almost surely, 2^257281828096 is an apocalyptic number.

It is an amenable number.

257281828096 is an abundant number, since it is smaller than the sum of its proper divisors (260988424404).

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

257281828096 is an equidigital number, since it uses as much as digits as its factorization.

257281828096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9220374 (or 9220360 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 58.

The spelling of 257281828096 in words is "two hundred fifty-seven billion, two hundred eighty-one million, eight hundred twenty-eight thousand, ninety-six".