10886469912768 has 448 divisors, whose sum is σ = 33525854208000. Its totient is φ = 3092456226816.

The previous prime is 10886469912761. The next prime is 10886469912797. The reversal of 10886469912768 is 86721996468801.

It is a self number, because there is not a number n which added to its sum of digits gives 10886469912768.

It is not an unprimeable number, because it can be changed into a prime (10886469912761) 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 63 ways as a sum of consecutive naturals, for example, 2508979143 + ... + 2508983481.

It is an arithmetic number, because the mean of its divisors is an integer number (74834496000).

Almost surely, 2^{10886469912768} 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 10886469912768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16762927104000).

10886469912768 is an abundant number, since it is smaller than the sum of its proper divisors (22639384295232).

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

10886469912768 is a wasteful number, since it uses less digits than its factorization.

10886469912768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6172 (or 6162 counting only the distinct ones).

The product of its (nonzero) digits is 501645312, while the sum is 75.

The spelling of 10886469912768 in words is "ten trillion, eight hundred eighty-six billion, four hundred sixty-nine million, nine hundred twelve thousand, seven hundred sixty-eight".