10866320442516 has 1152 divisors, whose sum is σ = 36588127887360. Its totient is φ = 2467816243200.

The previous prime is 10866320442511. The next prime is 10866320442557. The reversal of 10866320442516 is 61524402366801.

It is a super-2 number, since 2×10866320442516² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10866320442511) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 13107744390 + ... + 13107745218.

It is an arithmetic number, because the mean of its divisors is an integer number (31760527680).

Almost surely, 2^{10866320442516} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10866320442516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18294063943680).

10866320442516 is an abundant number, since it is smaller than the sum of its proper divisors (25721807444844).

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

10866320442516 is a wasteful number, since it uses less digits than its factorization.

10866320442516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1045 (or 1036 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 48.

The spelling of 10866320442516 in words is "ten trillion, eight hundred sixty-six billion, three hundred twenty million, four hundred forty-two thousand, five hundred sixteen".