256772112200 has 36 divisors (see below), whose sum is σ = 597011822745. Its totient is φ = 102705978400.

The previous prime is 256772112193. The next prime is 256772112239. The reversal of 256772112200 is 2211277652.

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.

It can be written as a sum of positive squares in 2 ways, for example, as 251636669956 + 5135442244 = 501634^2 + 71662^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=358310.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7148285 + ... + 7184115.

Almost surely, 2^256772112200 is an apocalyptic number.

256772112200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256772112200 is an abundant number, since it is smaller than the sum of its proper divisors (340239710545).

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

256772112200 is an frugal number, since it uses more digits than its factorization.

256772112200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71678 (or 35838 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

Adding to 256772112200 its reverse (2211277652), we get a palindrome (258983389852).

The spelling of 256772112200 in words is "two hundred fifty-six billion, seven hundred seventy-two million, one hundred twelve thousand, two hundred".