257706728116096 has 128 divisors (see below), whose sum is σ = 590795406129600. Its totient is φ = 109683685343232.

The previous prime is 257706728116093. The next prime is 257706728116127. The reversal of 257706728116096 is 690611827607752.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257706728116093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263553340 + ... + 264529348.

Almost surely, 2^{257706728116096} 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 257706728116096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295397703064800).

257706728116096 is an abundant number, since it is smaller than the sum of its proper divisors (333088678013504).

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

257706728116096 is a wasteful number, since it uses less digits than its factorization.

257706728116096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978064 (or 978052 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 67.

The spelling of 257706728116096 in words is "two hundred fifty-seven trillion, seven hundred six billion, seven hundred twenty-eight million, one hundred sixteen thousand, ninety-six".