66126059028 has 144 divisors (see below), whose sum is σ = 178770992400. Its totient is φ = 20570941440.

The previous prime is 66126058981. The next prime is 66126059029. The reversal of 66126059028 is 82095062166.

66126059028 is a `hidden beast` number, since 6 + 6 + 12 + 605 + 9 + 0 + 28 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 96589584 + 66029469444 = 9828^2 + 256962^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66126059029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4658550 + ... + 4672722.

It is an arithmetic number, because the mean of its divisors is an integer number (1241465225).

Almost surely, 2^66126059028 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 66126059028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89385496200).

66126059028 is an abundant number, since it is smaller than the sum of its proper divisors (112644933372).

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

66126059028 is a wasteful number, since it uses less digits than its factorization.

66126059028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14362 (or 14357 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 66126059028 in words is "sixty-six billion, one hundred twenty-six million, fifty-nine thousand, twenty-eight".