257597472816 has 120 divisors (see below), whose sum is σ = 731632378880. Its totient is φ = 84594077568.

The previous prime is 257597472773. The next prime is 257597472817. The reversal of 257597472816 is 618274795752.

257597472816 is a `hidden beast` number, since 2 + 5 + 7 + 597 + 4 + 7 + 28 + 16 = 666.

257597472816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (257597472817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5242635 + ... + 5291541.

Almost surely, 2^257597472816 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 257597472816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365816189440).

257597472816 is an abundant number, since it is smaller than the sum of its proper divisors (474034906064).

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

257597472816 is a wasteful number, since it uses less digits than its factorization.

257597472816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49463 (or 49454 counting only the distinct ones).

The product of its digits is 59270400, while the sum is 63.

The spelling of 257597472816 in words is "two hundred fifty-seven billion, five hundred ninety-seven million, four hundred seventy-two thousand, eight hundred sixteen".