1168311728960 has 112 divisors (see below), whose sum is σ = 2819754153216. Its totient is φ = 461024489472.

The previous prime is 1168311728959. The next prime is 1168311728963. The reversal of 1168311728960 is 698271138611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1168311728963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8601092 + ... + 8735868.

It is an arithmetic number, because the mean of its divisors is an integer number (25176376368).

Almost surely, 2^{1168311728960} is an apocalyptic number.

1168311728960 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 1168311728960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409877076608).

1168311728960 is an abundant number, since it is smaller than the sum of its proper divisors (1651442424256).

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

1168311728960 is a wasteful number, since it uses less digits than its factorization.

1168311728960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135160 (or 135150 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 53.

The spelling of 1168311728960 in words is "one trillion, one hundred sixty-eight billion, three hundred eleven million, seven hundred twenty-eight thousand, nine hundred sixty".