257321256192 has 2160 divisors, whose sum is σ = 1105241491200. Its totient is φ = 59012997120.

The previous prime is 257321256191. The next prime is 257321256193. The reversal of 257321256192 is 291652123752.

257321256192 is a `hidden beast` number, since 2 + 5 + 7 + 3 + 2 + 1 + 25 + 619 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (257321256191) and next prime (257321256193).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257321256191) 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 239 ways as a sum of consecutive naturals, for example, 11187880693 + ... + 11187880715.

Almost surely, 2^257321256192 is an apocalyptic number.

257321256192 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 257321256192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552620745600).

257321256192 is an abundant number, since it is smaller than the sum of its proper divisors (847920235008).

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

257321256192 is a wasteful number, since it uses less digits than its factorization.

257321256192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 59 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The spelling of 257321256192 in words is "two hundred fifty-seven billion, three hundred twenty-one million, two hundred fifty-six thousand, one hundred ninety-two".