58482328320 has 1728 divisors, whose sum is σ = 258544742400. Its totient is φ = 12421693440.

The previous prime is 58482328313. The next prime is 58482328327. The reversal of 58482328320 is 2382328485.

It is a happy number.

58482328320 is a `hidden beast` number, since 58 + 48 + 232 + 8 + 320 = 666.

It is an interprime number because it is at equal distance from previous prime (58482328313) and next prime (58482328327).

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (58482328327) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1886526705 + ... + 1886526735.

It is an arithmetic number, because the mean of its divisors is an integer number (149620800).

Almost surely, 2^58482328320 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 58482328320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129272371200).

58482328320 is an abundant number, since it is smaller than the sum of its proper divisors (200062414080).

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

58482328320 is a wasteful number, since it uses less digits than its factorization.

58482328320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 58482328320 in words is "fifty-eight billion, four hundred eighty-two million, three hundred twenty-eight thousand, three hundred twenty".