257698746984 has 128 divisors (see below), whose sum is σ = 742816972800. Its totient is φ = 72975893760.

The previous prime is 257698746973. The next prime is 257698747057. The reversal of 257698746984 is 489647896752.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23656179 + ... + 23667069.

It is an arithmetic number, because the mean of its divisors is an integer number (5803257600).

Almost surely, 2^257698746984 is an apocalyptic number.

257698746984 is a gapful number since it is divisible by the number (24) 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 257698746984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371408486400).

257698746984 is an abundant number, since it is smaller than the sum of its proper divisors (485118225816).

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

257698746984 is a wasteful number, since it uses less digits than its factorization.

257698746984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12143 (or 12139 counting only the distinct ones).

The product of its digits is 1463132160, while the sum is 75.

The spelling of 257698746984 in words is "two hundred fifty-seven billion, six hundred ninety-eight million, seven hundred forty-six thousand, nine hundred eighty-four".