58480425218592 has 1152 divisors, whose sum is σ = 202066070169600. Its totient is φ = 15868713369600.

The previous prime is 58480425218557. The next prime is 58480425218639. The reversal of 58480425218592 is 29581252408485.

58480425218592 is a `hidden beast` number, since 5 + 8 + 4 + 8 + 0 + 4 + 25 + 2 + 18 + 592 = 666.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 18737718792 + ... + 18737721912.

It is an arithmetic number, because the mean of its divisors is an integer number (175404574800).

Almost surely, 2^{58480425218592} is an apocalyptic number.

58480425218592 is a gapful number since it is divisible by the number (52) 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 58480425218592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101033035084800).

58480425218592 is an abundant number, since it is smaller than the sum of its proper divisors (143585644951008).

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

58480425218592 is a wasteful number, since it uses less digits than its factorization.

58480425218592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3522 (or 3511 counting only the distinct ones).

The product of its (nonzero) digits is 73728000, while the sum is 63.

The spelling of 58480425218592 in words is "fifty-eight trillion, four hundred eighty billion, four hundred twenty-five million, two hundred eighteen thousand, five hundred ninety-two".