257842609206784 has 40 divisors (see below), whose sum is σ = 588778993799568. Its totient is φ = 110503975372800.

The previous prime is 257842609206781. The next prime is 257842609206817. The reversal of 257842609206784 is 487602906248752.

It is a super-2 number, since 2×257842609206784² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257842609206781) 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 3 ways as a sum of consecutive naturals, for example, 35971342567 + ... + 35971349734.

Almost surely, 2^{257842609206784} is an apocalyptic number.

It is an amenable number.

257842609206784 is an abundant number, since it is smaller than the sum of its proper divisors (330936384592784).

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

257842609206784 is an frugal number, since it uses more digits than its factorization.

257842609206784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71942692326 (or 71942692310 counting only the distinct ones).

The product of its (nonzero) digits is 650280960, while the sum is 70.

The spelling of 257842609206784 in words is "two hundred fifty-seven trillion, eight hundred forty-two billion, six hundred nine million, two hundred six thousand, seven hundred eighty-four".