10785681816 has 256 divisors, whose sum is σ = 35514393600. Its totient is φ = 2650060800.

The previous prime is 10785681793. The next prime is 10785681817. The reversal of 10785681816 is 61818658701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10785681817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2529126 + ... + 2533386.

It is an arithmetic number, because the mean of its divisors is an integer number (138728100).

Almost surely, 2^10785681816 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 10785681816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17757196800).

10785681816 is an abundant number, since it is smaller than the sum of its proper divisors (24728711784).

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

10785681816 is a wasteful number, since it uses less digits than its factorization.

10785681816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4370 (or 4366 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 51.

The spelling of 10785681816 in words is "ten billion, seven hundred eighty-five million, six hundred eighty-one thousand, eight hundred sixteen".