666006005160 has 320 divisors, whose sum is σ = 2379236745600. Its totient is φ = 166619026944.

The previous prime is 666006005143. The next prime is 666006005191. The reversal of 666006005160 is 61500600666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 6288162 + ... + 6393198.

It is an arithmetic number, because the mean of its divisors is an integer number (7435114830).

Almost surely, 2^666006005160 is an apocalyptic number.

666006005160 is a gapful number since it is divisible by the number (60) 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 666006005160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1189618372800).

666006005160 is an abundant number, since it is smaller than the sum of its proper divisors (1713230740440).

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

666006005160 is a wasteful number, since it uses less digits than its factorization.

666006005160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105182 (or 105169 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The spelling of 666006005160 in words is "six hundred sixty-six billion, six million, five thousand, one hundred sixty".