257896737378 has 288 divisors, whose sum is σ = 690116656320. Its totient is φ = 71949306240.

The previous prime is 257896737359. The next prime is 257896737391. The reversal of 257896737378 is 873737698752.

257896737378 is a `hidden beast` number, since 2 + 57 + 89 + 67 + 373 + 78 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 243068968 + ... + 243070028.

It is an arithmetic number, because the mean of its divisors is an integer number (2396238390).

Almost surely, 2^257896737378 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 257896737378, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345058328160).

257896737378 is an abundant number, since it is smaller than the sum of its proper divisors (432219918942).

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

257896737378 is a wasteful number, since it uses less digits than its factorization.

257896737378 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324 (or 1305 counting only the distinct ones).

The product of its digits is 746807040, while the sum is 72.

The spelling of 257896737378 in words is "two hundred fifty-seven billion, eight hundred ninety-six million, seven hundred thirty-seven thousand, three hundred seventy-eight".