257956793934 has 96 divisors (see below), whose sum is σ = 612846205056. Its totient is φ = 72155603520.

The previous prime is 257956793933. The next prime is 257956793953. The reversal of 257956793934 is 439397659752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257956793933) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3170604 + ... + 3250944.

It is an arithmetic number, because the mean of its divisors is an integer number (6383814636).

Almost surely, 2^257956793934 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257956793934, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306423102528).

257956793934 is an abundant number, since it is smaller than the sum of its proper divisors (354889411122).

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

257956793934 is a wasteful number, since it uses less digits than its factorization.

257956793934 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80590 (or 80583 counting only the distinct ones).

The product of its digits is 385786800, while the sum is 69.

The spelling of 257956793934 in words is "two hundred fifty-seven billion, nine hundred fifty-six million, seven hundred ninety-three thousand, nine hundred thirty-four".