256566665652 has 96 divisors (see below), whose sum is σ = 668888285184. Its totient is φ = 75880771200.

The previous prime is 256566665647. The next prime is 256566665711.

256566665652 is nontrivially palindromic in base 10.

256566665652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1240233 + ... + 1432239.

It is an arithmetic number, because the mean of its divisors is an integer number (6967586304).

Almost surely, 2^256566665652 is an apocalyptic number.

256566665652 is a gapful number since it is divisible by the number (22) 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 256566665652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334444142592).

256566665652 is an abundant number, since it is smaller than the sum of its proper divisors (412321619532).

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

256566665652 is a wasteful number, since it uses less digits than its factorization.

256566665652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192269 (or 192267 counting only the distinct ones).

The product of its digits is 116640000, while the sum is 60.

The spelling of 256566665652 in words is "two hundred fifty-six billion, five hundred sixty-six million, six hundred sixty-five thousand, six hundred fifty-two".