257433814375808 has 192 divisors, whose sum is σ = 619392674171520. Its totient is φ = 106152604508160.

The previous prime is 257433814375769. The next prime is 257433814375811. The reversal of 257433814375808 is 808573418334752.

It is a happy number.

It is a congruent number.

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, 29810060 + ... + 37463412.

It is an arithmetic number, because the mean of its divisors is an integer number (3226003511310).

Almost surely, 2^{257433814375808} is an apocalyptic number.

257433814375808 is a gapful number since it is divisible by the number (28) 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 257433814375808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309696337085760).

257433814375808 is an abundant number, since it is smaller than the sum of its proper divisors (361958859795712).

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

257433814375808 is a wasteful number, since it uses less digits than its factorization.

257433814375808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7653585 (or 7653566 counting only the distinct ones).

The product of its (nonzero) digits is 541900800, while the sum is 68.

The spelling of 257433814375808 in words is "two hundred fifty-seven trillion, four hundred thirty-three billion, eight hundred fourteen million, three hundred seventy-five thousand, eight hundred eight".