10359996966 has 96 divisors (see below), whose sum is σ = 25734728448. Its totient is φ = 2983417920.

The previous prime is 10359996893. The next prime is 10359996967. The reversal of 10359996966 is 66969995301.

10359996966 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×10359996966³ (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10359996967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 298575 + ... + 331461.

It is an arithmetic number, because the mean of its divisors is an integer number (268070088).

Almost surely, 2^10359996966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10359996966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12867364224).

10359996966 is an abundant number, since it is smaller than the sum of its proper divisors (15374731482).

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

10359996966 is a wasteful number, since it uses less digits than its factorization.

10359996966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32986 (or 32983 counting only the distinct ones).

The product of its (nonzero) digits is 21257640, while the sum is 63.

The spelling of 10359996966 in words is "ten billion, three hundred fifty-nine million, nine hundred ninety-six thousand, nine hundred sixty-six".