58810146066 has 224 divisors, whose sum is σ = 157193895936. Its totient is φ = 16140060000.

The previous prime is 58810146037. The next prime is 58810146113. The reversal of 58810146066 is 66064101885.

58810146066 is a `hidden beast` number, since 5 + 88 + 101 + 460 + 6 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 111 ways as a sum of consecutive naturals, for example, 47773671 + ... + 47774901.

It is an arithmetic number, because the mean of its divisors is an integer number (701758464).

Almost surely, 2^58810146066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58810146066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78596947968).

58810146066 is an abundant number, since it is smaller than the sum of its proper divisors (98383749870).

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

58810146066 is a wasteful number, since it uses less digits than its factorization.

58810146066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440 (or 1425 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 58810146066 in words is "fifty-eight billion, eight hundred ten million, one hundred forty-six thousand, sixty-six".