58133128680 has 512 divisors, whose sum is σ = 219101068800. Its totient is φ = 13699445760.

The previous prime is 58133128639. The next prime is 58133128681. The reversal of 58133128680 is 8682133185.

58133128680 is a `hidden beast` number, since 581 + 3 + 3 + 1 + 2 + 8 + 68 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (58133128681) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53186214 + ... + 53187306.

It is an arithmetic number, because the mean of its divisors is an integer number (427931775).

Almost surely, 2^58133128680 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 58133128680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109550534400).

58133128680 is an abundant number, since it is smaller than the sum of its proper divisors (160967940120).

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

58133128680 is a wasteful number, since it uses less digits than its factorization.

58133128680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 58133128680 in words is "fifty-eight billion, one hundred thirty-three million, one hundred twenty-eight thousand, six hundred eighty".