5058467884800 has 1080 divisors, whose sum is σ = 21604411260432. Its totient is φ = 1154138112000.

The previous prime is 5058467884777. The next prime is 5058467884807. The reversal of 5058467884800 is 84887648505.

5058467884800 is a `hidden beast` number, since 5 + 0 + 5 + 84 + 6 + 78 + 8 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5058467884807) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 96914710 + ... + 96966890.

Almost surely, 2^{5058467884800} is an apocalyptic number.

5058467884800 is a gapful number since it is divisible by the number (50) 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 5058467884800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10802205630216).

5058467884800 is an abundant number, since it is smaller than the sum of its proper divisors (16545943375632).

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

5058467884800 is a wasteful number, since it uses less digits than its factorization.

5058467884800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52247 (or 52219 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 5058467884800 in words is "five trillion, fifty-eight billion, four hundred sixty-seven million, eight hundred eighty-four thousand, eight hundred".