257530836480 has 320 divisors, whose sum is σ = 838886450688. Its totient is φ = 67383787520.

The previous prime is 257530836397. The next prime is 257530836487. The reversal of 257530836480 is 84638035752.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257530836487) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 127049227 + ... + 127051253.

Almost surely, 2^257530836480 is an apocalyptic number.

257530836480 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 257530836480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419443225344).

257530836480 is an abundant number, since it is smaller than the sum of its proper divisors (581355614208).

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

257530836480 is a wasteful number, since it uses less digits than its factorization.

257530836480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2357 (or 2341 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 51.

The spelling of 257530836480 in words is "two hundred fifty-seven billion, five hundred thirty million, eight hundred thirty-six thousand, four hundred eighty".