58027055072085 has 128 divisors (see below), whose sum is σ = 112662036172800. Its totient is φ = 28103168712960.

The previous prime is 58027055072069. The next prime is 58027055072099.

58027055072085 is a `hidden beast` number, since 5 + 8 + 0 + 2 + 7 + 0 + 550 + 7 + 2 + 0 + 85 = 666.

58027055072085 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 58027055072085 - 2⁴ = 58027055072069 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7449868371 + ... + 7449876159.

It is an arithmetic number, because the mean of its divisors is an integer number (880172157600).

Almost surely, 2^{58027055072085} is an apocalyptic number.

58027055072085 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58027055072085 is a deficient number, since it is larger than the sum of its proper divisors (54634981100715).

58027055072085 is a wasteful number, since it uses less digits than its factorization.

58027055072085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12728 (or 12722 counting only the distinct ones).

The product of its (nonzero) digits is 7840000, while the sum is 54.

The spelling of 58027055072085 in words is "fifty-eight trillion, twenty-seven billion, fifty-five million, seventy-two thousand, eighty-five".