12166089480 has 192 divisors, whose sum is σ = 40208790960. Its totient is φ = 3189694464.

The previous prime is 12166089461. The next prime is 12166089487. The reversal of 12166089480 is 8498066121.

12166089480 is a `hidden beast` number, since 1 + 2 + 166 + 0 + 8 + 9 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3680363556 + 8485725924 = 60666^2 + 92118^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (12166089487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12009454 + ... + 12010466.

Almost surely, 2^12166089480 is an apocalyptic number.

12166089480 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 12166089480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20104395480).

12166089480 is an abundant number, since it is smaller than the sum of its proper divisors (28042701480).

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

12166089480 is a wasteful number, since it uses less digits than its factorization.

12166089480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 12166089480 in words is "twelve billion, one hundred sixty-six million, eighty-nine thousand, four hundred eighty".