257826432512 has 320 divisors, whose sum is σ = 610932326400. Its totient is φ = 107399086080.

The previous prime is 257826432511. The next prime is 257826432517. The reversal of 257826432512 is 215234628752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257826432511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 673175873 + ... + 673176255.

It is an arithmetic number, because the mean of its divisors is an integer number (1909163520).

Almost surely, 2^257826432512 is an apocalyptic number.

257826432512 is a gapful number since it is divisible by the number (22) 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 257826432512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305466163200).

257826432512 is an abundant number, since it is smaller than the sum of its proper divisors (353105893888).

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

257826432512 is a wasteful number, since it uses less digits than its factorization.

257826432512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 581 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 47.

The spelling of 257826432512 in words is "two hundred fifty-seven billion, eight hundred twenty-six million, four hundred thirty-two thousand, five hundred twelve".