257711161344 has 360 divisors, whose sum is σ = 861003517248. Its totient is φ = 67959521280.

The previous prime is 257711161319. The next prime is 257711161381. The reversal of 257711161344 is 443161117752.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 257711161296 and 257711161305.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31305709 + ... + 31313939.

Almost surely, 2^257711161344 is an apocalyptic number.

257711161344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257711161344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (430501758624).

257711161344 is an abundant number, since it is smaller than the sum of its proper divisors (603292355904).

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

257711161344 is an equidigital number, since it uses as much as digits as its factorization.

257711161344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8289 (or 8256 counting only the distinct ones).

The product of its digits is 141120, while the sum is 42.

The spelling of 257711161344 in words is "two hundred fifty-seven billion, seven hundred eleven million, one hundred sixty-one thousand, three hundred forty-four".