1166742895680 has 560 divisors, whose sum is σ = 4401620213760. Its totient is φ = 292351721472.

The previous prime is 1166742895679. The next prime is 1166742895711. The reversal of 1166742895680 is 865982476611.

1166742895680 is a `hidden beast` number, since 1 + 1 + 6 + 67 + 4 + 2 + 8 + 9 + 568 + 0 = 666.

It is a super-2 number, since 2×1166742895680² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 325631169 + ... + 325634751.

It is an arithmetic number, because the mean of its divisors is an integer number (7860036096).

Almost surely, 2^{1166742895680} is an apocalyptic number.

1166742895680 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 1166742895680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2200810106880).

1166742895680 is an abundant number, since it is smaller than the sum of its proper divisors (3234877318080).

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

1166742895680 is a wasteful number, since it uses less digits than its factorization.

1166742895680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4368 (or 4349 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 1166742895680 in words is "one trillion, one hundred sixty-six billion, seven hundred forty-two million, eight hundred ninety-five thousand, six hundred eighty".