1166287030272 has 1296 divisors, whose sum is σ = 4415700154320. Its totient is φ = 306505285632.

The previous prime is 1166287030267. The next prime is 1166287030283. The reversal of 1166287030272 is 2720307826611.

1166287030272 is a `hidden beast` number, since 1 + 1 + 66 + 287 + 0 + 302 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4121155443 + ... + 4121155725.

It is an arithmetic number, because the mean of its divisors is an integer number (3407176045).

Almost surely, 2^{1166287030272} is an apocalyptic number.

1166287030272 is a gapful number since it is divisible by the number (12) 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 1166287030272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2207850077160).

1166287030272 is an abundant number, since it is smaller than the sum of its proper divisors (3249413124048).

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

1166287030272 is an equidigital number, since it uses as much as digits as its factorization.

1166287030272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 1166287030272 in words is "one trillion, one hundred sixty-six billion, two hundred eighty-seven million, thirty thousand, two hundred seventy-two".