58876479972144 has 240 divisors, whose sum is σ = 170550141425664. Its totient is φ = 18940832640000.

The previous prime is 58876479972091. The next prime is 58876479972217. The reversal of 58876479972144 is 44127997467885.

58876479972144 is a `hidden beast` number, since 5 + 8 + 8 + 76 + 479 + 9 + 72 + 1 + 4 + 4 = 666.

58876479972144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2706829269 + ... + 2706851019.

Almost surely, 2^{58876479972144} 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 58876479972144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85275070712832).

58876479972144 is an abundant number, since it is smaller than the sum of its proper divisors (111673661453520).

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

58876479972144 is a wasteful number, since it uses less digits than its factorization.

58876479972144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23416 (or 23407 counting only the distinct ones).

The product of its digits is 6827950080, while the sum is 81.

The spelling of 58876479972144 in words is "fifty-eight trillion, eight hundred seventy-six billion, four hundred seventy-nine million, nine hundred seventy-two thousand, one hundred forty-four".