58567872064 has 105 divisors (see below), whose sum is σ = 126612645047. Its totient is φ = 26880312576.

The previous prime is 58567872059. The next prime is 58567872073. The reversal of 58567872064 is 46027876585.

It is a happy number.

The square root of 58567872064 is 242008.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 2 ways, for example, as 29038886464 + 29528985600 = 170408^2 + 171840^2 .

It is a Duffinian number.

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 14 ways as a sum of consecutive naturals, for example, 327194727 + ... + 327194905.

Almost surely, 2^58567872064 is an apocalyptic number.

58567872064 is the 242008-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58567872064

58567872064 is an abundant number, since it is smaller than the sum of its proper divisors (68044772983).

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

58567872064 is an frugal number, since it uses more digits than its factorization.

58567872064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 22579200, while the sum is 58.

The spelling of 58567872064 in words is "fifty-eight billion, five hundred sixty-seven million, eight hundred seventy-two thousand, sixty-four".