66126059001 has 6 divisors (see below), whose sum is σ = 95515418570. Its totient is φ = 44084039328.

The previous prime is 66126058981. The next prime is 66126059029. The reversal of 66126059001 is 10095062166.

66126059001 is a `hidden beast` number, since 6 + 6 + 1 + 2 + 60 + 590 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 65723013225 + 403045776 = 256365^2 + 20076^2 .

It is not a de Polignac number, because 66126059001 - 2⁶ = 66126058937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66126052001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3673669936 + ... + 3673669953.

Almost surely, 2^66126059001 is an apocalyptic number.

It is an amenable number.

66126059001 is a deficient number, since it is larger than the sum of its proper divisors (29389359569).

66126059001 is a wasteful number, since it uses less digits than its factorization.

66126059001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7347339895 (or 7347339892 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 66126059001 in words is "sixty-six billion, one hundred twenty-six million, fifty-nine thousand, one".