58480384000 has 192 divisors, whose sum is σ = 150659308800. Its totient is φ = 22634496000.

The previous prime is 58480383971. The next prime is 58480384009. The reversal of 58480384000 is 48308485.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58480384009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 7932316 + ... + 7939684.

It is an arithmetic number, because the mean of its divisors is an integer number (784683900).

Almost surely, 2^58480384000 is an apocalyptic number.

58480384000 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 58480384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75329654400).

58480384000 is an abundant number, since it is smaller than the sum of its proper divisors (92178924800).

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

58480384000 is an equidigital number, since it uses as much as digits as its factorization.

58480384000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7437 (or 7407 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 40.

The spelling of 58480384000 in words is "fifty-eight billion, four hundred eighty million, three hundred eighty-four thousand".