58480128000 has 1248 divisors, whose sum is σ = 252492489600. Its totient is φ = 13005619200.

The previous prime is 58480127989. The next prime is 58480128013. The reversal of 58480128000 is 82108485.

58480128000 is a `hidden beast` number, since 58 + 480 + 128 + 0 + 0 + 0 = 666.

58480128000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 1580543982 + ... + 1580544018.

It is an arithmetic number, because the mean of its divisors is an integer number (202317700).

Almost surely, 2^58480128000 is an apocalyptic number.

58480128000 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 58480128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126246244800).

58480128000 is an abundant number, since it is smaller than the sum of its proper divisors (194012361600).

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

58480128000 is an equidigital number, since it uses as much as digits as its factorization.

58480128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The spelling of 58480128000 in words is "fifty-eight billion, four hundred eighty million, one hundred twenty-eight thousand".