10766089682328 has 64 divisors (see below), whose sum is σ = 27258608102400. Its totient is φ = 3542920992000.

The previous prime is 10766089682321. The next prime is 10766089682351. The reversal of 10766089682328 is 82328698066701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10766089682321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19335828 + ... + 19884828.

It is an arithmetic number, because the mean of its divisors is an integer number (425915751600).

Almost surely, 2^{10766089682328} is an apocalyptic number.

It is an amenable number.

10766089682328 is an abundant number, since it is smaller than the sum of its proper divisors (16492518420072).

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

10766089682328 is a wasteful number, since it uses less digits than its factorization.

10766089682328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 559432 (or 559428 counting only the distinct ones).

The product of its (nonzero) digits is 83607552, while the sum is 66.

The spelling of 10766089682328 in words is "ten trillion, seven hundred sixty-six billion, eighty-nine million, six hundred eighty-two thousand, three hundred twenty-eight".