10996344576 has 216 divisors, whose sum is σ = 36428936544. Its totient is φ = 3124961280.

The previous prime is 10996344571. The next prime is 10996344577. The reversal of 10996344576 is 67544369901.

10996344576 is a `hidden beast` number, since 1 + 0 + 9 + 9 + 63 + 4 + 4 + 576 = 666.

10996344576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10996344571) 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 23 ways as a sum of consecutive naturals, for example, 3175486 + ... + 3178946.

It is an arithmetic number, because the mean of its divisors is an integer number (168652484).

Almost surely, 2^10996344576 is an apocalyptic number.

10996344576 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 10996344576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18214468272).

10996344576 is an abundant number, since it is smaller than the sum of its proper divisors (25432591968).

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

10996344576 is a wasteful number, since it uses less digits than its factorization.

10996344576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3687 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 10996344576 in words is "ten billion, nine hundred ninety-six million, three hundred forty-four thousand, five hundred seventy-six".