58006842012 has 192 divisors, whose sum is σ = 179612590080. Its totient is φ = 16038233280.

The previous prime is 58006841983. The next prime is 58006842029. The reversal of 58006842012 is 21024860085.

58006842012 is a `hidden beast` number, since 580 + 0 + 68 + 4 + 2 + 0 + 12 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1883038 + ... + 1913594.

It is an arithmetic number, because the mean of its divisors is an integer number (935482240).

Almost surely, 2^58006842012 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 58006842012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89806295040).

58006842012 is an abundant number, since it is smaller than the sum of its proper divisors (121605748068).

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

58006842012 is a wasteful number, since it uses less digits than its factorization.

58006842012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30620 (or 30600 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 58006842012 in words is "fifty-eight billion, six million, eight hundred forty-two thousand, twelve".