1161120054168 has 96 divisors (see below), whose sum is σ = 3285993484800. Its totient is φ = 369696913344.

The previous prime is 1161120054167. The next prime is 1161120054217. The reversal of 1161120054168 is 8614500211611.

1161120054168 is a `hidden beast` number, since 1 + 1 + 611 + 20 + 0 + 5 + 4 + 16 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1161120054167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 703071 + ... + 1678257.

It is an arithmetic number, because the mean of its divisors is an integer number (34229098800).

Almost surely, 2^{1161120054168} is an apocalyptic number.

1161120054168 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 1161120054168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1642996742400).

1161120054168 is an abundant number, since it is smaller than the sum of its proper divisors (2124873430632).

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

1161120054168 is a wasteful number, since it uses less digits than its factorization.

1161120054168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975941 (or 975934 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

Adding to 1161120054168 its reverse (8614500211611), we get a palindrome (9775620265779).

The spelling of 1161120054168 in words is "one trillion, one hundred sixty-one billion, one hundred twenty million, fifty-four thousand, one hundred sixty-eight".