58809360960 has 672 divisors, whose sum is σ = 249179120640. Its totient is φ = 13005619200.

The previous prime is 58809360949. The next prime is 58809360979. The reversal of 58809360960 is 6906390885.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 58809360897 and 58809360906.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13121920 + ... + 13126400.

Almost surely, 2^58809360960 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 58809360960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124589560320).

58809360960 is an abundant number, since it is smaller than the sum of its proper divisors (190369759680).

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

58809360960 is a wasteful number, since it uses less digits than its factorization.

58809360960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4552 (or 4529 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 58809360960 in words is "fifty-eight billion, eight hundred nine million, three hundred sixty thousand, nine hundred sixty".