257883091856 has 80 divisors (see below), whose sum is σ = 541852819200. Its totient is φ = 118190997504.

The previous prime is 257883091853. The next prime is 257883091903. The reversal of 257883091856 is 658190388752.

It is not an unprimeable number, because it can be changed into a prime (257883091853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28626905 + ... + 28635911.

It is an arithmetic number, because the mean of its divisors is an integer number (6773160240).

Almost surely, 2^257883091856 is an apocalyptic number.

257883091856 is a gapful number since it is divisible by the number (26) 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 257883091856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270926409600).

257883091856 is an abundant number, since it is smaller than the sum of its proper divisors (283969727344).

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

257883091856 is a wasteful number, since it uses less digits than its factorization.

257883091856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9976 (or 9970 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 62.

The spelling of 257883091856 in words is "two hundred fifty-seven billion, eight hundred eighty-three million, ninety-one thousand, eight hundred fifty-six".