58969320960 has 960 divisors, whose sum is σ = 225705553920. Its totient is φ = 13084262400.

The previous prime is 58969320959. The next prime is 58969321031. The reversal of 58969320960 is 6902396985.

It is a tau number, because it is divible by the number of its divisors (960).

It is a self number, because there is not a number n which added to its sum of digits gives 58969320960.

It is a congruent 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 95 ways as a sum of consecutive naturals, for example, 662576596 + ... + 662576684.

It is an arithmetic number, because the mean of its divisors is an integer number (235109952).

Almost surely, 2^58969320960 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58969320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112852776960).

58969320960 is an abundant number, since it is smaller than the sum of its proper divisors (166736232960).

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

58969320960 is a wasteful number, since it uses less digits than its factorization.

58969320960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 6298560, while the sum is 57.

The spelling of 58969320960 in words is "fifty-eight billion, nine hundred sixty-nine million, three hundred twenty thousand, nine hundred sixty".