58006066251168 has 720 divisors, whose sum is σ = 195757413598656. Its totient is φ = 16288580689920.

The previous prime is 58006066251157. The next prime is 58006066251191. The reversal of 58006066251168 is 86115266060085.

58006066251168 is a `hidden beast` number, since 5 + 8 + 0 + 0 + 6 + 0 + 6 + 62 + 511 + 68 = 666.

It is a super-2 number, since 2×58006066251168² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17330762071 + ... + 17330765417.

Almost surely, 2^{58006066251168} 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 58006066251168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97878706799328).

58006066251168 is an abundant number, since it is smaller than the sum of its proper divisors (137751347347488).

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

58006066251168 is a wasteful number, since it uses less digits than its factorization.

58006066251168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3815 (or 3783 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 58006066251168 in words is "fifty-eight trillion, six billion, sixty-six million, two hundred fifty-one thousand, one hundred sixty-eight".