58580770011312 has 160 divisors (see below), whose sum is σ = 159705631360000. Its totient is φ = 18451961720064.

The previous prime is 58580770011301. The next prime is 58580770011317. The reversal of 58580770011312 is 21311007708585.

58580770011312 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×58580770011312² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (58580770011317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 849614823 + ... + 849683769.

It is an arithmetic number, because the mean of its divisors is an integer number (998160196000).

Almost surely, 2^{58580770011312} 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 58580770011312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79852815680000).

58580770011312 is an abundant number, since it is smaller than the sum of its proper divisors (101124861348688).

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

58580770011312 is a wasteful number, since it uses less digits than its factorization.

58580770011312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71343 (or 71337 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 48.

Adding to 58580770011312 its reverse (21311007708585), we get a palindrome (79891777719897).

The spelling of 58580770011312 in words is "fifty-eight trillion, five hundred eighty billion, seven hundred seventy million, eleven thousand, three hundred twelve".