257992171444 has 72 divisors (see below), whose sum is σ = 529421848200. Its totient is φ = 109681818624.

The previous prime is 257992171433. The next prime is 257992171529. The reversal of 257992171444 is 444171299752.

It can be written as a sum of positive squares in 4 ways, for example, as 177778603044 + 80213568400 = 421638^2 + 283220^2 .

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 15487632 + ... + 15504280.

It is an arithmetic number, because the mean of its divisors is an integer number (7353081225).

Almost surely, 2^257992171444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257992171444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264710924100).

257992171444 is an abundant number, since it is smaller than the sum of its proper divisors (271429676756).

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

257992171444 is a wasteful number, since it uses less digits than its factorization.

257992171444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17297 (or 17288 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 55.

The spelling of 257992171444 in words is "two hundred fifty-seven billion, nine hundred ninety-two million, one hundred seventy-one thousand, four hundred forty-four".