257865000000 has 224 divisors, whose sum is σ = 852882191616. Its totient is φ = 68760000000.

The previous prime is 257864999983. The next prime is 257865000011. The reversal of 257865000000 is 568752.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14991405 + ... + 15008595.

It is an arithmetic number, because the mean of its divisors is an integer number (3807509784).

Almost surely, 2^257865000000 is an apocalyptic number.

257865000000 is a gapful number since it is divisible by the number (20) 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 257865000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426441095808).

257865000000 is an abundant number, since it is smaller than the sum of its proper divisors (595017191616).

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

257865000000 is an frugal number, since it uses more digits than its factorization.

257865000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17241 (or 17201 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

Adding to 257865000000 its reverse (568752), we get a palindrome (257865568752).

The spelling of 257865000000 in words is "two hundred fifty-seven billion, eight hundred sixty-five million", and thus it is an aban number.