66587335137 has 12 divisors (see below), whose sum is σ = 96183984000. Its totient is φ = 44390505528.

The previous prime is 66587335109. The next prime is 66587335151. The reversal of 66587335137 is 73153378566.

66587335137 is a `hidden beast` number, since 6 + 6 + 58 + 73 + 3 + 513 + 7 = 666.

It is not a de Polignac number, because 66587335137 - 2¹⁴ = 66587318753 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (66587331137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 586888 + ... + 691094.

It is an arithmetic number, because the mean of its divisors is an integer number (8015332000).

Almost surely, 2^66587335137 is an apocalyptic number.

It is an amenable number.

66587335137 is a deficient number, since it is larger than the sum of its proper divisors (29596648863).

66587335137 is a wasteful number, since it uses less digits than its factorization.

66587335137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175212 (or 175209 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 54.

The spelling of 66587335137 in words is "sixty-six billion, five hundred eighty-seven million, three hundred thirty-five thousand, one hundred thirty-seven".