58069450009680 has 480 divisors, whose sum is σ = 189601282241280. Its totient is φ = 14684711731200.

The previous prime is 58069450009661. The next prime is 58069450009691. The reversal of 58069450009680 is 8690005496085.

It is a super-2 number, since 2×58069450009680² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25457890140 + ... + 25457892420.

It is an arithmetic number, because the mean of its divisors is an integer number (395002671336).

Almost surely, 2^{58069450009680} 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 58069450009680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94800641120640).

58069450009680 is an abundant number, since it is smaller than the sum of its proper divisors (131531832231600).

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

58069450009680 is a wasteful number, since it uses less digits than its factorization.

58069450009680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3431 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 60.

The spelling of 58069450009680 in words is "fifty-eight trillion, sixty-nine billion, four hundred fifty million, nine thousand, six hundred eighty".