257343158880 has 144 divisors (see below), whose sum is σ = 879273027360. Its totient is φ = 68539705344.

The previous prime is 257343158869. The next prime is 257343158881. The reversal of 257343158880 is 88851343752.

257343158880 is a `hidden beast` number, since 2 + 57 + 3 + 4 + 3 + 1 + 588 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257343158881) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1054509 + ... + 1275411.

It is an arithmetic number, because the mean of its divisors is an integer number (6106062690).

Almost surely, 2^257343158880 is an apocalyptic number.

257343158880 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 257343158880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439636513680).

257343158880 is an abundant number, since it is smaller than the sum of its proper divisors (621929868480).

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

257343158880 is a wasteful number, since it uses less digits than its factorization.

257343158880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221733 (or 221722 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 257343158880 in words is "two hundred fifty-seven billion, three hundred forty-three million, one hundred fifty-eight thousand, eight hundred eighty".