58768432319682 has 54 divisors (see below), whose sum is σ = 127524346412697. Its totient is φ = 19559869461792.

The previous prime is 58768432319669. The next prime is 58768432319683. The reversal of 58768432319682 is 28691323486785.

58768432319682 is a `hidden beast` number, since 5 + 8 + 76 + 8 + 432 + 31 + 96 + 8 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38052107112321 + 20716325207361 = 6168639^2 + 4551519^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=5420721.

It is a super-2 number, since 2×58768432319682² (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 58768432319682.

It is not an unprimeable number, because it can be changed into a prime (58768432319683) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 36524817294 + ... + 36524818902.

Almost surely, 2^{58768432319682} is an apocalyptic number.

58768432319682 is an abundant number, since it is smaller than the sum of its proper divisors (68755914093015).

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

58768432319682 is an frugal number, since it uses more digits than its factorization.

58768432319682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5472 (or 2737 counting only the distinct ones).

The product of its digits is 836075520, while the sum is 72.

The spelling of 58768432319682 in words is "fifty-eight trillion, seven hundred sixty-eight billion, four hundred thirty-two million, three hundred nineteen thousand, six hundred eighty-two".