5958017689120 has 96 divisors (see below), whose sum is σ = 16087089110400. Its totient is φ = 2042692878336.

The previous prime is 5958017689069. The next prime is 5958017689121. The reversal of 5958017689120 is 219867108595.

It is not an unprimeable number, because it can be changed into a prime (5958017689121) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 79055616 + ... + 79130944.

It is an arithmetic number, because the mean of its divisors is an integer number (167573844900).

Almost surely, 2^{5958017689120} is an apocalyptic number.

It is an amenable number.

5958017689120 is an abundant number, since it is smaller than the sum of its proper divisors (10129071421280).

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

5958017689120 is a wasteful number, since it uses less digits than its factorization.

5958017689120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145970 (or 145962 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 61.

The spelling of 5958017689120 in words is "five trillion, nine hundred fifty-eight billion, seventeen million, six hundred eighty-nine thousand, one hundred twenty".