257139267144192 has 3840 divisors, whose sum is σ = 940891219107840. Its totient is φ = 69471282659328.

The previous prime is 257139267144191. The next prime is 257139267144197. The reversal of 257139267144192 is 291441762931752.

257139267144192 is a `hidden beast` number, since 2 + 5 + 7 + 1 + 39 + 2 + 6 + 71 + 441 + 92 = 666.

It is a super-2 number, since 2×257139267144192² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257139267144191) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 2496497739213 + ... + 2496497739315.

It is an arithmetic number, because the mean of its divisors is an integer number (245023754976).

Almost surely, 2^{257139267144192} 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 257139267144192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (470445609553920).

257139267144192 is an abundant number, since it is smaller than the sum of its proper divisors (683751951963648).

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

257139267144192 is a wasteful number, since it uses less digits than its factorization.

257139267144192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 277 counting only the distinct ones).

The product of its digits is 45722880, while the sum is 63.

The spelling of 257139267144192 in words is "two hundred fifty-seven trillion, one hundred thirty-nine billion, two hundred sixty-seven million, one hundred forty-four thousand, one hundred ninety-two".