257263084224 has 84 divisors (see below), whose sum is σ = 769459010736. Its totient is φ = 82025906688.

The previous prime is 257263084207. The next prime is 257263084229. The reversal of 257263084224 is 422480362752.

257263084224 is a `hidden beast` number, since 2 + 5 + 7 + 2 + 630 + 8 + 4 + 2 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 257263084224.

It is not an unprimeable number, because it can be changed into a prime (257263084229) 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 11 ways as a sum of consecutive naturals, for example, 9696259 + ... + 9722754.

Almost surely, 2^257263084224 is an apocalyptic number.

257263084224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

257263084224 is an abundant number, since it is smaller than the sum of its proper divisors (512195926512).

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

257263084224 is a wasteful number, since it uses less digits than its factorization.

257263084224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19419054 (or 19419041 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 257263084224 in words is "two hundred fifty-seven billion, two hundred sixty-three million, eighty-four thousand, two hundred twenty-four".