257666474913120 has 2304 divisors, whose sum is σ = 1185822892800000. Its totient is φ = 51308425838592.

The previous prime is 257666474913097. The next prime is 257666474913151. The reversal of 257666474913120 is 21319474666752.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18083119756 + ... + 18083134004.

It is an arithmetic number, because the mean of its divisors is an integer number (514680075000).

Almost surely, 2^{257666474913120} is an apocalyptic number.

257666474913120 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 257666474913120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (592911446400000).

257666474913120 is an abundant number, since it is smaller than the sum of its proper divisors (928156417886880).

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

257666474913120 is a wasteful number, since it uses less digits than its factorization.

257666474913120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14587 (or 14567 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 63.

The spelling of 257666474913120 in words is "two hundred fifty-seven trillion, six hundred sixty-six billion, four hundred seventy-four million, nine hundred thirteen thousand, one hundred twenty".