58001099241249 has 16 divisors (see below), whose sum is σ = 85988975184000. Its totient is φ = 38639760155568.

The previous prime is 58001099241203. The next prime is 58001099241271. The reversal of 58001099241249 is 94214299010085.

58001099241249 is a `hidden beast` number, since 5 + 80 + 0 + 109 + 9 + 2 + 412 + 49 = 666.

58001099241249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 58001099241249 - 2¹¹ = 58001099239201 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 58001099241195 and 58001099241204.

It is not an unprimeable number, because it can be changed into a prime (58001099241289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 767720934 + ... + 767796479.

It is an arithmetic number, because the mean of its divisors is an integer number (5374310949000).

Almost surely, 2^{58001099241249} is an apocalyptic number.

It is an amenable number.

58001099241249 is a deficient number, since it is larger than the sum of its proper divisors (27987875942751).

58001099241249 is a wasteful number, since it uses less digits than its factorization.

58001099241249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1535518821 (or 1535518815 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The spelling of 58001099241249 in words is "fifty-eight trillion, one billion, ninety-nine million, two hundred forty-one thousand, two hundred forty-nine".