257657676069 has 16 divisors (see below), whose sum is σ = 350211642560. Its totient is φ = 168454460160.

The previous prime is 257657676037. The next prime is 257657676071. The reversal of 257657676069 is 960676756752.

It is not a de Polignac number, because 257657676069 - 2⁵ = 257657676037 is a prime.

It is a super-2 number, since 2×257657676069² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257657676769) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2027299 + ... + 2150640.

It is an arithmetic number, because the mean of its divisors is an integer number (21888227660).

Almost surely, 2^257657676069 is an apocalyptic number.

It is an amenable number.

257657676069 is a deficient number, since it is larger than the sum of its proper divisors (92553966491).

257657676069 is a wasteful number, since it uses less digits than its factorization.

257657676069 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4178340.

The product of its (nonzero) digits is 200037600, while the sum is 66.

The spelling of 257657676069 in words is "two hundred fifty-seven billion, six hundred fifty-seven million, six hundred seventy-six thousand, sixty-nine".