58117496072832 has 192 divisors, whose sum is σ = 191194909963200. Its totient is φ = 16599399247872.

The previous prime is 58117496072819. The next prime is 58117496072869. The reversal of 58117496072832 is 23827069471185.

58117496072832 is a `hidden beast` number, since 5 + 8 + 1 + 17 + 4 + 9 + 607 + 2 + 8 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 58117496072832.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22728303 + ... + 25155729.

It is an arithmetic number, because the mean of its divisors is an integer number (995806822725).

It is a 1-persistent number, because it is pandigital, but 2⋅58117496072832 = 116234992145664 is not.

Almost surely, 2^{58117496072832} 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 58117496072832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95597454981600).

58117496072832 is an abundant number, since it is smaller than the sum of its proper divisors (133077413890368).

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

58117496072832 is a wasteful number, since it uses less digits than its factorization.

58117496072832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2430423 (or 2430408 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 58117496072832 in words is "fifty-eight trillion, one hundred seventeen billion, four hundred ninety-six million, seventy-two thousand, eight hundred thirty-two".