257482275984 has 320 divisors, whose sum is σ = 801488582400. Its totient is φ = 78865809408.

The previous prime is 257482275971. The next prime is 257482276019. The reversal of 257482275984 is 489572284752.

257482275984 is a `hidden beast` number, since 2 + 5 + 7 + 482 + 2 + 75 + 9 + 84 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 113277472 + ... + 113279744.

It is an arithmetic number, because the mean of its divisors is an integer number (2504651820).

Almost surely, 2^257482275984 is an apocalyptic number.

257482275984 is a gapful number since it is divisible by the number (24) 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 257482275984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (400744291200).

257482275984 is an abundant number, since it is smaller than the sum of its proper divisors (544006306416).

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

257482275984 is a wasteful number, since it uses less digits than its factorization.

257482275984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2707 counting only the distinct ones).

The product of its digits is 90316800, while the sum is 63.

The spelling of 257482275984 in words is "two hundred fifty-seven billion, four hundred eighty-two million, two hundred seventy-five thousand, nine hundred eighty-four".