58084048085 has 64 divisors (see below), whose sum is σ = 85016494080. Its totient is φ = 37238572800.

The previous prime is 58084048063. The next prime is 58084048093.

It is a happy number.

58084048085 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 58084048085 - 2¹⁶ = 58083982549 is a prime.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 6418574 + ... + 6427616.

It is an arithmetic number, because the mean of its divisors is an integer number (1328382720).

Almost surely, 2^58084048085 is an apocalyptic number.

It is an amenable number.

58084048085 is a deficient number, since it is larger than the sum of its proper divisors (26932445995).

58084048085 is a wasteful number, since it uses less digits than its factorization.

58084048085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9258.

The product of its (nonzero) digits is 1638400, while the sum is 50.

The spelling of 58084048085 in words is "fifty-eight billion, eighty-four million, forty-eight thousand, eighty-five".