66016512 has 72 divisors (see below), whose sum is σ = 195242880. Its totient is φ = 22003200.

The previous prime is 66016501. The next prime is 66016513. The reversal of 66016512 is 21561066.

It is a happy number.

66016512 is a `hidden beast` number, since 6 + 6 + 0 + 1 + 651 + 2 = 666.

66016512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×66016512² = 8716359713292288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66016513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2137 + ... + 11687.

Almost surely, 2^66016512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66016512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97621440).

66016512 is an abundant number, since it is smaller than the sum of its proper divisors (129226368).

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

66016512 is an equidigital number, since it uses as much as digits as its factorization.

66016512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9576 (or 9556 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 66016512 is about 8125.0545844320. The cubic root of 66016512 is about 404.1577007446.

Adding to 66016512 its reverse (21561066), we get a palindrome (87577578).

The spelling of 66016512 in words is "sixty-six million, sixteen thousand, five hundred twelve".