58664484480 has 512 divisors, whose sum is σ = 225325670400. Its totient is φ = 12692275200.

The previous prime is 58664484443. The next prime is 58664484481. The reversal of 58664484480 is 8448446685.

58664484480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 58664484480.

It is not an unprimeable number, because it can be changed into a prime (58664484481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31220181 + ... + 31222059.

It is an arithmetic number, because the mean of its divisors is an integer number (440089200).

Almost surely, 2^58664484480 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 58664484480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112662835200).

58664484480 is an abundant number, since it is smaller than the sum of its proper divisors (166661185920).

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

58664484480 is a wasteful number, since it uses less digits than its factorization.

58664484480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2032 (or 2020 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 57.

The spelling of 58664484480 in words is "fifty-eight billion, six hundred sixty-four million, four hundred eighty-four thousand, four hundred eighty".