257934476482560 has 3456 divisors, whose sum is σ = 1042091223264000. Its totient is φ = 58789390712832.

The previous prime is 257934476482429. The next prime is 257934476482561. The reversal of 257934476482560 is 65284674439752.

257934476482560 is a `hidden beast` number, since 2 + 5 + 7 + 9 + 34 + 476 + 48 + 25 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257934476482561) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 1582420101039 + ... + 1582420101201.

It is an arithmetic number, because the mean of its divisors is an integer number (301531025250).

Almost surely, 2^{257934476482560} is an apocalyptic number.

257934476482560 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 257934476482560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (521045611632000).

257934476482560 is an abundant number, since it is smaller than the sum of its proper divisors (784156746781440).

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

257934476482560 is a wasteful number, since it uses less digits than its factorization.

257934476482560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 2438553600, while the sum is 72.

The spelling of 257934476482560 in words is "two hundred fifty-seven trillion, nine hundred thirty-four billion, four hundred seventy-six million, four hundred eighty-two thousand, five hundred sixty".