10666336244256 has 384 divisors, whose sum is σ = 39254006937600. Its totient is φ = 2737096289280.

The previous prime is 10666336244251. The next prime is 10666336244269. The reversal of 10666336244256 is 65244263366601.

It is a super-2 number, since 2×10666336244256² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (10666336244251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4555990 + ... + 6487658.

It is an arithmetic number, because the mean of its divisors is an integer number (102223976400).

Almost surely, 2^{10666336244256} is an apocalyptic number.

10666336244256 is a gapful number since it is divisible by the number (16) 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 10666336244256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19627003468800).

10666336244256 is an abundant number, since it is smaller than the sum of its proper divisors (28587670693344).

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

10666336244256 is a wasteful number, since it uses less digits than its factorization.

10666336244256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1931789 (or 1931775 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 54.

The spelling of 10666336244256 in words is "ten trillion, six hundred sixty-six billion, three hundred thirty-six million, two hundred forty-four thousand, two hundred fifty-six".