58109720587072 has 448 divisors, whose sum is σ = 158413944913920. Its totient is φ = 20464254720000.

The previous prime is 58109720587063. The next prime is 58109720587073. The reversal of 58109720587072 is 27078502790185.

It is a tau number, because it is divible by the number of its divisors (448).

It is a hoax number, since the sum of its digits (61) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 58109720587072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58109720587073) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 205943047 + ... + 206225017.

Almost surely, 2^{58109720587072} 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 58109720587072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79206972456960).

58109720587072 is an abundant number, since it is smaller than the sum of its proper divisors (100304224326848).

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

58109720587072 is a wasteful number, since it uses less digits than its factorization.

58109720587072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282122 (or 282112 counting only the distinct ones).

The product of its (nonzero) digits is 19756800, while the sum is 61.

The spelling of 58109720587072 in words is "fifty-eight trillion, one hundred nine billion, seven hundred twenty million, five hundred eighty-seven thousand, seventy-two".