58001306112 has 480 divisors, whose sum is σ = 184787583552. Its totient is φ = 17439916032.

The previous prime is 58001306107. The next prime is 58001306149. The reversal of 58001306112 is 21160310085.

58001306112 is a `hidden beast` number, since 580 + 0 + 13 + 0 + 61 + 12 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225685888 + ... + 225686144.

Almost surely, 2^58001306112 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 58001306112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92393791776).

58001306112 is an abundant number, since it is smaller than the sum of its proper divisors (126786277440).

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

58001306112 is a wasteful number, since it uses less digits than its factorization.

58001306112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 58001306112 its reverse (21160310085), we get a palindrome (79161616197).

The spelling of 58001306112 in words is "fifty-eight billion, one million, three hundred six thousand, one hundred twelve".