257242677700 has 72 divisors (see below), whose sum is σ = 589132293120. Its totient is φ = 97226640000.

The previous prime is 257242677677. The next prime is 257242677763. The reversal of 257242677700 is 7776242752.

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, 550950 + ... + 904450.

It is an arithmetic number, because the mean of its divisors is an integer number (8182392960).

Almost surely, 2^257242677700 is an apocalyptic number.

257242677700 is a gapful number since it is divisible by the number (20) 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 257242677700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294566146560).

257242677700 is an abundant number, since it is smaller than the sum of its proper divisors (331889615420).

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

257242677700 is a wasteful number, since it uses less digits than its factorization.

257242677700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 353917 (or 353910 counting only the distinct ones).

The product of its (nonzero) digits is 2304960, while the sum is 49.

The spelling of 257242677700 in words is "two hundred fifty-seven billion, two hundred forty-two million, six hundred seventy-seven thousand, seven hundred".