257747640200 has 36 divisors (see below), whose sum is σ = 599279956965. Its totient is φ = 103096184160.

The previous prime is 257747640173. The next prime is 257747640223. The reversal of 257747640200 is 2046747752.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

257747640200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 252592687396 + 5154952804 = 502586^2 + 71798^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=358990.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7161851 + ... + 7197749.

Almost surely, 2^257747640200 is an apocalyptic number.

257747640200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257747640200 is an abundant number, since it is smaller than the sum of its proper divisors (341532316765).

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

257747640200 is an frugal number, since it uses more digits than its factorization.

257747640200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71814 (or 35906 counting only the distinct ones).

The product of its (nonzero) digits is 658560, while the sum is 44.

The spelling of 257747640200 in words is "two hundred fifty-seven billion, seven hundred forty-seven million, six hundred forty thousand, two hundred".