10866442630896 has 120 divisors (see below), whose sum is σ = 30929129627760. Its totient is φ = 3560439426048.

The previous prime is 10866442630877. The next prime is 10866442630909. The reversal of 10866442630896 is 69803624466801.

10866442630896 is a `hidden beast` number, since 1 + 0 + 86 + 6 + 442 + 6 + 30 + 89 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 107823346 + ... + 107924078.

It is an arithmetic number, because the mean of its divisors is an integer number (257742746898).

Almost surely, 2^{10866442630896} is an apocalyptic number.

10866442630896 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 10866442630896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15464564813880).

10866442630896 is an abundant number, since it is smaller than the sum of its proper divisors (20062686996864).

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

10866442630896 is a wasteful number, since it uses less digits than its factorization.

10866442630896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113503 (or 113494 counting only the distinct ones).

The product of its (nonzero) digits is 71663616, while the sum is 63.

The spelling of 10866442630896 in words is "ten trillion, eight hundred sixty-six billion, four hundred forty-two million, six hundred thirty thousand, eight hundred ninety-six".