257824219212 has 240 divisors, whose sum is σ = 811551220480. Its totient is φ = 69725059200.

The previous prime is 257824219189. The next prime is 257824219229. The reversal of 257824219212 is 212912428752.

257824219212 is a `hidden beast` number, since 2 + 5 + 7 + 8 + 2 + 421 + 9 + 212 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 69850287 + ... + 69853977.

Almost surely, 2^257824219212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257824219212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405775610240).

257824219212 is an abundant number, since it is smaller than the sum of its proper divisors (553727001268).

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

257824219212 is a wasteful number, since it uses less digits than its factorization.

257824219212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5354 (or 5343 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 257824219212 in words is "two hundred fifty-seven billion, eight hundred twenty-four million, two hundred nineteen thousand, two hundred twelve".