10968056736 has 768 divisors, whose sum is σ = 41455411200. Its totient is φ = 2467086336.

The previous prime is 10968056707. The next prime is 10968056747. The reversal of 10968056736 is 63765086901.

10968056736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10968056736² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 476872021 + ... + 476872043.

It is an arithmetic number, because the mean of its divisors is an integer number (53978400).

Almost surely, 2^10968056736 is an apocalyptic number.

10968056736 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 10968056736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20727705600).

10968056736 is an abundant number, since it is smaller than the sum of its proper divisors (30487354464).

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

10968056736 is a wasteful number, since it uses less digits than its factorization.

10968056736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 10968056736 in words is "ten billion, nine hundred sixty-eight million, fifty-six thousand, seven hundred thirty-six".