58438560028480 has 224 divisors, whose sum is σ = 149076370384128. Its totient is φ = 21769752576000.

The previous prime is 58438560028423. The next prime is 58438560028483. The reversal of 58438560028480 is 8482006583485.

It is a super-2 number, since 2×58438560028480² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58438560028483) 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, 50528680 + ... + 51672280.

Almost surely, 2^{58438560028480} 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 58438560028480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74538185192064).

58438560028480 is an abundant number, since it is smaller than the sum of its proper divisors (90637810355648).

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

58438560028480 is a wasteful number, since it uses less digits than its factorization.

58438560028480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143825 (or 1143815 counting only the distinct ones).

The product of its (nonzero) digits is 58982400, while the sum is 61.

The spelling of 58438560028480 in words is "fifty-eight trillion, four hundred thirty-eight billion, five hundred sixty million, twenty-eight thousand, four hundred eighty".