11159167036968 has 192 divisors, whose sum is σ = 30806909952000. Its totient is φ = 3648570863616.

The previous prime is 11159167036951. The next prime is 11159167036981. The reversal of 11159167036968 is 86963076195111.

11159167036968 is a `hidden beast` number, since 1 + 1 + 1 + 59 + 167 + 0 + 369 + 68 = 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, 921553698 + ... + 921565806.

It is an arithmetic number, because the mean of its divisors is an integer number (160452656000).

Almost surely, 2^{11159167036968} is an apocalyptic number.

11159167036968 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 11159167036968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15403454976000).

11159167036968 is an abundant number, since it is smaller than the sum of its proper divisors (19647742915032).

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

11159167036968 is a wasteful number, since it uses less digits than its factorization.

11159167036968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13384 (or 13377 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 63.

The spelling of 11159167036968 in words is "eleven trillion, one hundred fifty-nine billion, one hundred sixty-seven million, thirty-six thousand, nine hundred sixty-eight".