257728778188343 has 48 divisors (see below), whose sum is σ = 333973499177472. Its totient is φ = 194539048228800.

The previous prime is 257728778188303. The next prime is 257728778188423. The reversal of 257728778188343 is 343881877827752.

It is not a de Polignac number, because 257728778188343 - 2¹⁰ = 257728778187319 is a prime.

It is a super-2 number, since 2×257728778188343² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257728778188303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11000363 + ... + 25228268.

It is an arithmetic number, because the mean of its divisors is an integer number (6957781232864).

Almost surely, 2^{257728778188343} is an apocalyptic number.

257728778188343 is a deficient number, since it is larger than the sum of its proper divisors (76244720989129).

257728778188343 is a wasteful number, since it uses less digits than its factorization.

257728778188343 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36228924 (or 36228913 counting only the distinct ones).

The product of its digits is 7080837120, while the sum is 80.

The spelling of 257728778188343 in words is "two hundred fifty-seven trillion, seven hundred twenty-eight billion, seven hundred seventy-eight million, one hundred eighty-eight thousand, three hundred forty-three".