10968579216 has 240 divisors, whose sum is σ = 36441000960. Its totient is φ = 3013770240.

The previous prime is 10968579187. The next prime is 10968579239. The reversal of 10968579216 is 61297586901.

10968579216 is a `hidden beast` number, since 1 + 0 + 9 + 68 + 579 + 2 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5404890 + ... + 5406918.

It is an arithmetic number, because the mean of its divisors is an integer number (151837504).

Almost surely, 2^10968579216 is an apocalyptic number.

10968579216 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 10968579216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18220500480).

10968579216 is an abundant number, since it is smaller than the sum of its proper divisors (25472421744).

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

10968579216 is a wasteful number, since it uses less digits than its factorization.

10968579216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2245 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 10968579216 in words is "ten billion, nine hundred sixty-eight million, five hundred seventy-nine thousand, two hundred sixteen".