58128473014272 has 1200 divisors, whose sum is σ = 193080137830272. Its totient is φ = 17405659054080.

The previous prime is 58128473014211. The next prime is 58128473014273. The reversal of 58128473014272 is 27241037482185.

58128473014272 is a `hidden beast` number, since 5 + 8 + 1 + 28 + 47 + 301 + 4 + 272 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (58128473014273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 126092132122 + ... + 126092132582.

Almost surely, 2^{58128473014272} 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 58128473014272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96540068915136).

58128473014272 is an abundant number, since it is smaller than the sum of its proper divisors (134951664816000).

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

58128473014272 is an frugal number, since it uses more digits than its factorization.

58128473014272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 58128473014272 in words is "fifty-eight trillion, one hundred twenty-eight billion, four hundred seventy-three million, fourteen thousand, two hundred seventy-two".