10665736128 has 112 divisors (see below), whose sum is σ = 31381720320. Its totient is φ = 3552249600.

The previous prime is 10665736121. The next prime is 10665736141. The reversal of 10665736128 is 82163756601.

10665736128 is a `hidden beast` number, since 1 + 0 + 66 + 573 + 6 + 12 + 8 = 666.

It is a super-2 number, since 2×10665736128² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10665736121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3162283 + ... + 3165653.

Almost surely, 2^10665736128 is an apocalyptic number.

10665736128 is a gapful number since it is divisible by the number (18) 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 10665736128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15690860160).

10665736128 is an abundant number, since it is smaller than the sum of its proper divisors (20715984192).

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

10665736128 is a wasteful number, since it uses less digits than its factorization.

10665736128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5223 (or 5207 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

It can be divided in two parts, 1066573 and 6128, that added together give a palindrome (1072701).

The spelling of 10665736128 in words is "ten billion, six hundred sixty-five million, seven hundred thirty-six thousand, one hundred twenty-eight".