256641000000 has 1176 divisors, whose sum is σ = 1076787466944. Its totient is φ = 52800000000.

The previous prime is 256640999999. The next prime is 256641000013. The reversal of 256641000000 is 146652.

256641000000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 167 ways as a sum of consecutive naturals, for example, 2540999950 + ... + 2541000050.

Almost surely, 2^256641000000 is an apocalyptic number.

256641000000 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 256641000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (538393733472).

256641000000 is an abundant number, since it is smaller than the sum of its proper divisors (820146466944).

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

256641000000 is an equidigital number, since it uses as much as digits as its factorization.

256641000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 256641000000 its reverse (146652), we get a palindrome (256641146652).

The spelling of 256641000000 in words is "two hundred fifty-six billion, six hundred forty-one million", and thus it is an aban number.