58089966998085 has 36 divisors (see below), whose sum is σ = 110674989475596. Its totient is φ = 28164832481280.

The previous prime is 58089966998059. The next prime is 58089966998093.

58089966998085 is nontrivially palindromic in base 10.

58089966998085 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 10900239005601 + 47189727992484 = 3301551^2 + 6869478^2 .

It is not a de Polignac number, because 58089966998085 - 2¹⁴ = 58089966981701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 58089966997986 and 58089966998004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5334243132 + ... + 5334254021.

It is an arithmetic number, because the mean of its divisors is an integer number (3074305263211).

Almost surely, 2^{58089966998085} is an apocalyptic number.

58089966998085 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

58089966998085 is a deficient number, since it is larger than the sum of its proper divisors (52585022477511).

58089966998085 is a wasteful number, since it uses less digits than its factorization.

58089966998085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10668497186 (or 10668497172 counting only the distinct ones).

The product of its (nonzero) digits is 24186470400, while the sum is 90.

The spelling of 58089966998085 in words is "fifty-eight trillion, eighty-nine billion, nine hundred sixty-six million, nine hundred ninety-eight thousand, eighty-five".