256666923360 has 288 divisors, whose sum is σ = 923080354560. Its totient is φ = 64764417024.

The previous prime is 256666923353. The next prime is 256666923371. The reversal of 256666923360 is 63329666652.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×256666923360² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 256666923297 and 256666923306.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 24810349 + ... + 24820691.

It is an arithmetic number, because the mean of its divisors is an integer number (3205140120).

Almost surely, 2^256666923360 is an apocalyptic number.

256666923360 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 256666923360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461540177280).

256666923360 is an abundant number, since it is smaller than the sum of its proper divisors (666413431200).

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

256666923360 is a wasteful number, since it uses less digits than its factorization.

256666923360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11290 (or 11279 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 54.

The spelling of 256666923360 in words is "two hundred fifty-six billion, six hundred sixty-six million, nine hundred twenty-three thousand, three hundred sixty".