257063875390224 has 240 divisors, whose sum is σ = 886025150999040. Its totient is φ = 71077569050880.

The previous prime is 257063875390219. The next prime is 257063875390241. The reversal of 257063875390224 is 422093578360752.

257063875390224 is a `hidden beast` number, since 2 + 5 + 70 + 6 + 3 + 8 + 7 + 539 + 0 + 2 + 24 = 666.

It is a super-2 number, since 2×257063875390224² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 195214519 + ... + 196526934.

It is an arithmetic number, because the mean of its divisors is an integer number (3691771462496).

Almost surely, 2^{257063875390224} is an apocalyptic number.

257063875390224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

257063875390224 is an abundant number, since it is smaller than the sum of its proper divisors (628961275608816).

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

257063875390224 is a wasteful number, since it uses less digits than its factorization.

257063875390224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391741515 (or 391741496 counting only the distinct ones).

The product of its (nonzero) digits is 152409600, while the sum is 63.

The spelling of 257063875390224 in words is "two hundred fifty-seven trillion, sixty-three billion, eight hundred seventy-five million, three hundred ninety thousand, two hundred twenty-four".