58668953616 has 800 divisors, whose sum is σ = 223676656000. Its totient is φ = 14594743296.

The previous prime is 58668953599. The next prime is 58668953641. The reversal of 58668953616 is 61635986685.

58668953616 is a `hidden beast` number, since 5 + 8 + 6 + 6 + 8 + 9 + 5 + 3 + 616 = 666.

It is a super-2 number, since 2×58668953616² (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 256196190 + ... + 256196418.

It is an arithmetic number, because the mean of its divisors is an integer number (279595820).

Almost surely, 2^58668953616 is an apocalyptic number.

58668953616 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58668953616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111838328000).

58668953616 is an abundant number, since it is smaller than the sum of its proper divisors (165007702384).

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

58668953616 is a wasteful number, since it uses less digits than its factorization.

58668953616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 273 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The spelling of 58668953616 in words is "fifty-eight billion, six hundred sixty-eight million, nine hundred fifty-three thousand, six hundred sixteen".