257689007000 has 32 divisors (see below), whose sum is σ = 602992278720. Its totient is φ = 103075602400.

The previous prime is 257689006979. The next prime is 257689007021. The reversal of 257689007000 is 700986752.

It is an interprime number because it is at equal distance from previous prime (257689006979) and next prime (257689007021).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128843504 + ... + 128845503.

It is an arithmetic number, because the mean of its divisors is an integer number (18843508710).

Almost surely, 2^257689007000 is an apocalyptic number.

257689007000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257689007000 is an abundant number, since it is smaller than the sum of its proper divisors (345303271720).

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

257689007000 is a wasteful number, since it uses less digits than its factorization.

257689007000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257689028 (or 257689014 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 44.

The spelling of 257689007000 in words is "two hundred fifty-seven billion, six hundred eighty-nine million, seven thousand".