58104004166208 has 4032 divisors, whose sum is σ = 250919962675200. Its totient is φ = 13135268966400.

The previous prime is 58104004166171. The next prime is 58104004166231. The reversal of 58104004166208 is 80266140040185.

It is a happy number.

58104004166208 is a `hidden beast` number, since 5 + 8 + 1 + 0 + 4 + 0 + 0 + 4 + 16 + 620 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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 575 ways as a sum of consecutive naturals, for example, 275374427223 + ... + 275374427433.

It is an arithmetic number, because the mean of its divisors is an integer number (62232133600).

Almost surely, 2^{58104004166208} 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 58104004166208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125459981337600).

58104004166208 is an abundant number, since it is smaller than the sum of its proper divisors (192815958508992).

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

58104004166208 is a wasteful number, since it uses less digits than its factorization.

58104004166208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 58104004166208 in words is "fifty-eight trillion, one hundred four billion, four million, one hundred sixty-six thousand, two hundred eight".