257343806720 has 1296 divisors, whose sum is σ = 907028760960. Its totient is φ = 67881369600.

The previous prime is 257343806597. The next prime is 257343806743. The reversal of 257343806720 is 27608343752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8301413105 + ... + 8301413135.

Almost surely, 2^257343806720 is an apocalyptic number.

257343806720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257343806720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453514380480).

257343806720 is an abundant number, since it is smaller than the sum of its proper divisors (649684954240).

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

257343806720 is a wasteful number, since it uses less digits than its factorization.

257343806720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 47.

The spelling of 257343806720 in words is "two hundred fifty-seven billion, three hundred forty-three million, eight hundred six thousand, seven hundred twenty".