257685738464 has 192 divisors, whose sum is σ = 642754828800. Its totient is φ = 98780774400.

The previous prime is 257685738461. The next prime is 257685738467. The reversal of 257685738464 is 464837586752.

257685738464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (257685738461) and next prime (257685738467).

It is a Smith number, since the sum of its digits (65) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 257685738464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257685738461) 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, 46268672 + ... + 46274240.

It is an arithmetic number, because the mean of its divisors is an integer number (3347681400).

Almost surely, 2^257685738464 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 257685738464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321377414400).

257685738464 is an abundant number, since it is smaller than the sum of its proper divisors (385069090336).

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

257685738464 is a wasteful number, since it uses less digits than its factorization.

257685738464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5897 (or 5889 counting only the distinct ones).

The product of its digits is 270950400, while the sum is 65.

The spelling of 257685738464 in words is "two hundred fifty-seven billion, six hundred eighty-five million, seven hundred thirty-eight thousand, four hundred sixty-four".