10968606720 has 288 divisors, whose sum is σ = 40257158760. Its totient is φ = 2752512000.

The previous prime is 10968606667. The next prime is 10968606743. The reversal of 10968606720 is 2760686901.

10968606720 is a `hidden beast` number, since 10 + 9 + 6 + 8 + 606 + 7 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9644811264 + 1323795456 = 98208^2 + 36384^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 1563220 + ... + 1570220.

Almost surely, 2^10968606720 is an apocalyptic number.

10968606720 is a gapful number since it is divisible by the number (10) 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 10968606720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20128579380).

10968606720 is an abundant number, since it is smaller than the sum of its proper divisors (29288552040).

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

10968606720 is a wasteful number, since it uses less digits than its factorization.

10968606720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7051 (or 7028 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10968606720 in words is "ten billion, nine hundred sixty-eight million, six hundred six thousand, seven hundred twenty".