58128980800 has 252 divisors, whose sum is σ = 158074896448. Its totient is φ = 21022848000.

The previous prime is 58128980761. The next prime is 58128980801. The reversal of 58128980800 is 808982185.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58128980801) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 40848889 + ... + 40850311.

Almost surely, 2^58128980800 is an apocalyptic number.

58128980800 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 58128980800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79037448224).

58128980800 is an abundant number, since it is smaller than the sum of its proper divisors (99945915648).

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

58128980800 is a wasteful number, since it uses less digits than its factorization.

58128980800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1652 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 49.

The spelling of 58128980800 in words is "fifty-eight billion, one hundred twenty-eight million, nine hundred eighty thousand, eight hundred".