66958528225 has 24 divisors (see below), whose sum is σ = 85800794112. Its totient is φ = 51802968000.

The previous prime is 66958528223. The next prime is 66958528229. The reversal of 66958528225 is 52282585966.

It is a happy number.

66958528225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 66958528225 - 2¹ = 66958528223 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 66958528225.

It is not an unprimeable number, because it can be changed into a prime (66958528223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199777 + ... + 416926.

It is an arithmetic number, because the mean of its divisors is an integer number (3575033088).

Almost surely, 2^66958528225 is an apocalyptic number.

It is an amenable number.

66958528225 is a deficient number, since it is larger than the sum of its proper divisors (18842265887).

66958528225 is a wasteful number, since it uses less digits than its factorization.

66958528225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616857 (or 616852 counting only the distinct ones).

The product of its digits is 20736000, while the sum is 58.

The spelling of 66958528225 in words is "sixty-six billion, nine hundred fifty-eight million, five hundred twenty-eight thousand, two hundred twenty-five".