11161359600768 has 384 divisors, whose sum is σ = 35909026498800. Its totient is φ = 3304005304320.

The previous prime is 11161359600707. The next prime is 11161359600803. The reversal of 11161359600768 is 86700695316111.

11161359600768 is a `hidden beast` number, since 1 + 1 + 16 + 13 + 5 + 9 + 600 + 7 + 6 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2788392343104 + 8372967257664 = 1669848^2 + 2893608^2 .

It is a tau number, because it is divible by the number of its divisors (384).

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, 121993696 + ... + 122085152.

Almost surely, 2^{11161359600768} is an apocalyptic number.

11161359600768 is a gapful number since it is divisible by the number (18) 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 11161359600768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17954513249400).

11161359600768 is an abundant number, since it is smaller than the sum of its proper divisors (24747666898032).

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

11161359600768 is a wasteful number, since it uses less digits than its factorization.

11161359600768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91800 (or 91785 counting only the distinct ones).

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

The spelling of 11161359600768 in words is "eleven trillion, one hundred sixty-one billion, three hundred fifty-nine million, six hundred thousand, seven hundred sixty-eight".