58079224320 has 640 divisors, whose sum is σ = 222983228160. Its totient is φ = 12740198400.

The previous prime is 58079224309. The next prime is 58079224331. The reversal of 58079224320 is 2342297085.

It is an interprime number because it is at equal distance from previous prime (58079224309) and next prime (58079224331).

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-3 number, since 3×58079224320³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32247420 + ... + 32249220.

It is an arithmetic number, because the mean of its divisors is an integer number (348411294).

Almost surely, 2^58079224320 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 58079224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111491614080).

58079224320 is an abundant number, since it is smaller than the sum of its proper divisors (164904003840).

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

58079224320 is a wasteful number, since it uses less digits than its factorization.

58079224320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 58079224320 in words is "fifty-eight billion, seventy-nine million, two hundred twenty-four thousand, three hundred twenty".