257718828480 has 112 divisors (see below), whose sum is σ = 818357239584. Its totient is φ = 68716625920.

The previous prime is 257718828443. The next prime is 257718828509. The reversal of 257718828480 is 84828817752.

It is a happy number.

It is a super-2 number, since 2×257718828480² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15122044 + ... + 15139076.

Almost surely, 2^257718828480 is an apocalyptic number.

257718828480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257718828480 is an abundant number, since it is smaller than the sum of its proper divisors (560638411104).

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

257718828480 is a wasteful number, since it uses less digits than its factorization.

257718828480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32814 (or 32804 counting only the distinct ones).

The product of its (nonzero) digits is 16056320, while the sum is 60.

The spelling of 257718828480 in words is "two hundred fifty-seven billion, seven hundred eighteen million, eight hundred twenty-eight thousand, four hundred eighty".