12066485760 has 960 divisors, whose sum is σ = 52763622912. Its totient is φ = 2579890176.

The previous prime is 12066485747. The next prime is 12066485803. The reversal of 12066485760 is 6758466021.

12066485760 is a `hidden beast` number, since 12 + 0 + 6 + 64 + 8 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74027439 + ... + 74027601.

Almost surely, 2^12066485760 is an apocalyptic number.

12066485760 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 12066485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26381811456).

12066485760 is an abundant number, since it is smaller than the sum of its proper divisors (40697137152).

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

12066485760 is an equidigital number, since it uses as much as digits as its factorization.

12066485760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 12066485760 in words is "twelve billion, sixty-six million, four hundred eighty-five thousand, seven hundred sixty".