1168342860960 has 576 divisors, whose sum is σ = 4499888649984. Its totient is φ = 273549312000.

The previous prime is 1168342860941. The next prime is 1168342860961. The reversal of 1168342860960 is 690682438611.

1168342860960 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 3 + 4 + 28 + 609 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1168342860897 and 1168342860906.

It is not an unprimeable number, because it can be changed into a prime (1168342860961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80285685 + ... + 80300235.

It is an arithmetic number, because the mean of its divisors is an integer number (7812306684).

Almost surely, 2^{1168342860960} is an apocalyptic number.

1168342860960 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 1168342860960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2249944324992).

1168342860960 is an abundant number, since it is smaller than the sum of its proper divisors (3331545789024).

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

1168342860960 is a wasteful number, since it uses less digits than its factorization.

1168342860960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14757 (or 14746 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 1168342860960 in words is "one trillion, one hundred sixty-eight billion, three hundred forty-two million, eight hundred sixty thousand, nine hundred sixty".