58559479261920 has 576 divisors, whose sum is σ = 246212815605120. Its totient is φ = 12342194601984.

The previous prime is 58559479261867. The next prime is 58559479261991. The reversal of 58559479261920 is 2916297495585.

58559479261920 is a `hidden beast` number, since 5 + 8 + 5 + 5 + 9 + 479 + 2 + 61 + 92 + 0 = 666.

It is a super-2 number, since 2×58559479261920² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 122546016 + ... + 123022944.

It is an arithmetic number, because the mean of its divisors is an integer number (427452804870).

Almost surely, 2^{58559479261920} 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 58559479261920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123106407802560).

58559479261920 is an abundant number, since it is smaller than the sum of its proper divisors (187653336343200).

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

58559479261920 is a wasteful number, since it uses less digits than its factorization.

58559479261920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477907 (or 477896 counting only the distinct ones).

The product of its (nonzero) digits is 489888000, while the sum is 72.

The spelling of 58559479261920 in words is "fifty-eight trillion, five hundred fifty-nine billion, four hundred seventy-nine million, two hundred sixty-one thousand, nine hundred twenty".