10666768835840 has 432 divisors, whose sum is σ = 28909826733312. Its totient is φ = 3762032541696.

The previous prime is 10666768835819. The next prime is 10666768835963. The reversal of 10666768835840 is 4853886766601.

It is a super-2 number, since 2×10666768835840² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6084864404 + ... + 6084866156.

It is an arithmetic number, because the mean of its divisors is an integer number (66920895216).

Almost surely, 2^{10666768835840} is an apocalyptic number.

10666768835840 is a gapful number since it is divisible by the number (10) 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 10666768835840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14454913366656).

10666768835840 is an abundant number, since it is smaller than the sum of its proper divisors (18243057897472).

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

10666768835840 is a wasteful number, since it uses less digits than its factorization.

10666768835840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3046 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 278691840, while the sum is 68.

The spelling of 10666768835840 in words is "ten trillion, six hundred sixty-six billion, seven hundred sixty-eight million, eight hundred thirty-five thousand, eight hundred forty".