257271168000 has 1584 divisors, whose sum is σ = 1103910286752. Its totient is φ = 52985856000.

The previous prime is 257271167981. The next prime is 257271168059. The reversal of 257271168000 is 861172752.

257271168000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 257271168000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2276735944 + ... + 2276736056.

Almost surely, 2^257271168000 is an apocalyptic number.

257271168000 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 257271168000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551955143376).

257271168000 is an abundant number, since it is smaller than the sum of its proper divisors (846639118752).

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

257271168000 is a wasteful number, since it uses less digits than its factorization.

257271168000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 39.

The spelling of 257271168000 in words is "two hundred fifty-seven billion, two hundred seventy-one million, one hundred sixty-eight thousand".