58380129585 has 24 divisors (see below), whose sum is σ = 102194135784. Its totient is φ = 30827788800.

The previous prime is 58380129557. The next prime is 58380129611. The reversal of 58380129585 is 58592108385.

It is a happy number.

58380129585 is a `hidden beast` number, since 5 + 8 + 38 + 0 + 1 + 29 + 585 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20747233521 + 37632896064 = 144039^2 + 193992^2 .

It is not a de Polignac number, because 58380129585 - 2⁸ = 58380129329 is a prime.

It is a super-2 number, since 2×58380129585² (a number of 22 digits) contains 22 as substring.

It is a Curzon 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 23 ways as a sum of consecutive naturals, for example, 6417912 + ... + 6427001.

It is an arithmetic number, because the mean of its divisors is an integer number (4258088991).

Almost surely, 2^58380129585 is an apocalyptic number.

It is an amenable number.

58380129585 is a deficient number, since it is larger than the sum of its proper divisors (43814006199).

58380129585 is a wasteful number, since it uses less digits than its factorization.

58380129585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12845025 (or 12845022 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 54.

The spelling of 58380129585 in words is "fifty-eight billion, three hundred eighty million, one hundred twenty-nine thousand, five hundred eighty-five".