10866317616 has 480 divisors, whose sum is σ = 41322355200. Its totient is φ = 2698375680.

The previous prime is 10866317599. The next prime is 10866317629. The reversal of 10866317616 is 61671366801.

10866317616 is a `hidden beast` number, since 1 + 0 + 8 + 6 + 631 + 7 + 6 + 1 + 6 = 666.

10866317616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5354490 + ... + 5356518.

It is an arithmetic number, because the mean of its divisors is an integer number (86088240).

Almost surely, 2^10866317616 is an apocalyptic number.

10866317616 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 10866317616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20661177600).

10866317616 is an abundant number, since it is smaller than the sum of its proper divisors (30456037584).

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

10866317616 is a wasteful number, since it uses less digits than its factorization.

10866317616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2075 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10866317616 in words is "ten billion, eight hundred sixty-six million, three hundred seventeen thousand, six hundred sixteen".