58138289664 has 640 divisors, whose sum is σ = 206896757760. Its totient is φ = 14070841344.

The previous prime is 58138289663. The next prime is 58138289687. The reversal of 58138289664 is 46698283185.

It is a junction number, because it is equal to n+sod(n) for n = 58138289598 and 58138289607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58138289663) 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, 102175972 + ... + 102176540.

It is an arithmetic number, because the mean of its divisors is an integer number (323276184).

Almost surely, 2^58138289664 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 58138289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103448378880).

58138289664 is an abundant number, since it is smaller than the sum of its proper divisors (148758468096).

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

58138289664 is a wasteful number, since it uses less digits than its factorization.

58138289664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670 (or 654 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 60.

The spelling of 58138289664 in words is "fifty-eight billion, one hundred thirty-eight million, two hundred eighty-nine thousand, six hundred sixty-four".