58968853416 has 480 divisors, whose sum is σ = 199527451200. Its totient is φ = 16183411200.

The previous prime is 58968853409. The next prime is 58968853417. The reversal of 58968853416 is 61435886985.

58968853416 is a `hidden beast` number, since 5 + 8 + 9 + 6 + 88 + 534 + 16 = 666.

It is not an unprimeable number, because it can be changed into a prime (58968853417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 34263436 + ... + 34265156.

It is an arithmetic number, because the mean of its divisors is an integer number (415682190).

Almost surely, 2^58968853416 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 58968853416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99763725600).

58968853416 is an abundant number, since it is smaller than the sum of its proper divisors (140558597784).

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

58968853416 is a wasteful number, since it uses less digits than its factorization.

58968853416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1803 (or 1779 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 58968853416 in words is "fifty-eight billion, nine hundred sixty-eight million, eight hundred fifty-three thousand, four hundred sixteen".