257394537216 has 180 divisors, whose sum is σ = 770022993432. Its totient is φ = 85516591104.

The previous prime is 257394537209. The next prime is 257394537217. The reversal of 257394537216 is 612735493752.

257394537216 is a `hidden beast` number, since 2 + 5 + 7 + 3 + 94 + 537 + 2 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (257394537217) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6345736 + ... + 6386168.

Almost surely, 2^257394537216 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 257394537216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (385011496716).

257394537216 is an abundant number, since it is smaller than the sum of its proper divisors (512628456216).

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

257394537216 is an equidigital number, since it uses as much as digits as its factorization.

257394537216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40768 (or 40745 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 54.

The spelling of 257394537216 in words is "two hundred fifty-seven billion, three hundred ninety-four million, five hundred thirty-seven thousand, two hundred sixteen".