58080332800 has 264 divisors, whose sum is σ = 166216727520. Its totient is φ = 19709952000.

The previous prime is 58080332731. The next prime is 58080332833. The reversal of 58080332800 is 823308085.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 58080332800.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18097596 + ... + 18100804.

Almost surely, 2^58080332800 is an apocalyptic number.

58080332800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58080332800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83108363760).

58080332800 is an abundant number, since it is smaller than the sum of its proper divisors (108136394720).

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

58080332800 is a wasteful number, since it uses less digits than its factorization.

58080332800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The spelling of 58080332800 in words is "fifty-eight billion, eighty million, three hundred thirty-two thousand, eight hundred".