58880461406208 has 512 divisors, whose sum is σ = 171362000113920. Its totient is φ = 17874970214400.

The previous prime is 58880461406189. The next prime is 58880461406251. The reversal of 58880461406208 is 80260416408885.

It is a tau number, because it is divible by the number of its divisors (512).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48144285085 + ... + 48144286307.

Almost surely, 2^{58880461406208} 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 58880461406208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85681000056960).

58880461406208 is an abundant number, since it is smaller than the sum of its proper divisors (112481538707712).

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

58880461406208 is a wasteful number, since it uses less digits than its factorization.

58880461406208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 23592960, while the sum is 60.

The spelling of 58880461406208 in words is "fifty-eight trillion, eight hundred eighty billion, four hundred sixty-one million, four hundred six thousand, two hundred eight".