66005685043200 has 2448 divisors, whose sum is σ = 290077445343360. Its totient is φ = 14661420318720.

The previous prime is 66005685043183. The next prime is 66005685043217. The reversal of 66005685043200 is 234058650066.

66005685043200 is a `hidden beast` number, since 6 + 6 + 0 + 0 + 568 + 50 + 4 + 32 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (66005685043183) and next prime (66005685043217).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 80201317989 + ... + 80201318811.

Almost surely, 2^{66005685043200} is an apocalyptic number.

66005685043200 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 66005685043200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145038722671680).

66005685043200 is an abundant number, since it is smaller than the sum of its proper divisors (224071760300160).

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

66005685043200 is an equidigital number, since it uses as much as digits as its factorization.

66005685043200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 877 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 66005685043200 in words is "sixty-six trillion, five billion, six hundred eighty-five million, forty-three thousand, two hundred".