257412166677 has 32 divisors (see below), whose sum is σ = 382388428800. Its totient is φ = 171141802416.

The previous prime is 257412166667. The next prime is 257412166721. The reversal of 257412166677 is 776661214752.

It is not a de Polignac number, because 257412166677 - 2¹⁰ = 257412165653 is a prime.

It is a super-2 number, since 2×257412166677² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257412166667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38307724 + ... + 38314442.

It is an arithmetic number, because the mean of its divisors is an integer number (11949638400).

Almost surely, 2^257412166677 is an apocalyptic number.

257412166677 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

257412166677 is a deficient number, since it is larger than the sum of its proper divisors (124976262123).

257412166677 is a wasteful number, since it uses less digits than its factorization.

257412166677 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10374 (or 10368 counting only the distinct ones).

The product of its digits is 5927040, while the sum is 54.

The spelling of 257412166677 in words is "two hundred fifty-seven billion, four hundred twelve million, one hundred sixty-six thousand, six hundred seventy-seven".