256779663600 has 120 divisors (see below), whose sum is σ = 858314028672. Its totient is φ = 65497414400.

The previous prime is 256779663571. The next prime is 256779663601. The reversal of 256779663600 is 6366977652.

256779663600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256779663601) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4624206 + ... + 4679405.

Almost surely, 2^256779663600 is an apocalyptic number.

256779663600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

256779663600 is an abundant number, since it is smaller than the sum of its proper divisors (601534365072).

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

256779663600 is a wasteful number, since it uses less digits than its factorization.

256779663600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9303655 (or 9303644 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 57.

The spelling of 256779663600 in words is "two hundred fifty-six billion, seven hundred seventy-nine million, six hundred sixty-three thousand, six hundred".