257686047067 has 8 divisors (see below), whose sum is σ = 263687131136. Its totient is φ = 251685344232.

The previous prime is 257686046951. The next prime is 257686047077. The reversal of 257686047067 is 760740686752.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 257686047067 - 2⁷ = 257686046939 is a prime.

It is a super-2 number, since 2×257686047067² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (257686047077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1632838 + ... + 1783684.

It is an arithmetic number, because the mean of its divisors is an integer number (32960891392).

Almost surely, 2^257686047067 is an apocalyptic number.

257686047067 is a deficient number, since it is larger than the sum of its proper divisors (6001084069).

257686047067 is a wasteful number, since it uses less digits than its factorization.

257686047067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190617.

The product of its (nonzero) digits is 23708160, while the sum is 58.

The spelling of 257686047067 in words is "two hundred fifty-seven billion, six hundred eighty-six million, forty-seven thousand, sixty-seven".