256700555800 has 120 divisors (see below), whose sum is σ = 646577171100. Its totient is φ = 94779634560.

The previous prime is 256700555779. The next prime is 256700555809. The reversal of 256700555800 is 8555007652.

256700555800 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×256700555800³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256700555809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5689731 + ... + 5734669.

Almost surely, 2^256700555800 is an apocalyptic number.

256700555800 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 256700555800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323288585550).

256700555800 is an abundant number, since it is smaller than the sum of its proper divisors (389876615300).

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

256700555800 is an equidigital number, since it uses as much as digits as its factorization.

256700555800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45007 (or 44959 counting only the distinct ones).

The product of its (nonzero) digits is 420000, while the sum is 43.

The spelling of 256700555800 in words is "two hundred fifty-six billion, seven hundred million, five hundred fifty-five thousand, eight hundred".