256665566652 has 192 divisors, whose sum is σ = 677105049600. Its totient is φ = 74996928000.

The previous prime is 256665566623. The next prime is 256665566699.

256665566652 is nontrivially palindromic in base 10.

Its product of digits (116640000) is a multiple of the sum of its prime factors (1728).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 203863999 + ... + 203865257.

It is an arithmetic number, because the mean of its divisors is an integer number (3526588800).

Almost surely, 2^256665566652 is an apocalyptic number.

256665566652 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 256665566652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338552524800).

256665566652 is an abundant number, since it is smaller than the sum of its proper divisors (420439482948).

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

256665566652 is a wasteful number, since it uses less digits than its factorization.

256665566652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1728 (or 1726 counting only the distinct ones).

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

The spelling of 256665566652 in words is "two hundred fifty-six billion, six hundred sixty-five million, five hundred sixty-six thousand, six hundred fifty-two".