58384952064 has 288 divisors, whose sum is σ = 175377162240. Its totient is φ = 19157741568.

The previous prime is 58384952027. The next prime is 58384952083. The reversal of 58384952064 is 46025948385.

58384952064 is a `hidden beast` number, since 58 + 3 + 8 + 4 + 9 + 520 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 58384952064.

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 31 ways as a sum of consecutive naturals, for example, 199265902 + ... + 199266194.

It is an arithmetic number, because the mean of its divisors is an integer number (608948480).

Almost surely, 2^58384952064 is an apocalyptic number.

58384952064 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58384952064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87688581120).

58384952064 is an abundant number, since it is smaller than the sum of its proper divisors (116992210176).

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

58384952064 is a wasteful number, since it uses less digits than its factorization.

58384952064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 58384952064 in words is "fifty-eight billion, three hundred eighty-four million, nine hundred fifty-two thousand, sixty-four".