5058316800 has 360 divisors, whose sum is σ = 19063318560. Its totient is φ = 1277337600.

The previous prime is 5058316789. The next prime is 5058316831. The reversal of 5058316800 is 86138505.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2187645 + ... + 2189955.

Almost surely, 2^5058316800 is an apocalyptic number.

5058316800 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 5058316800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9531659280).

5058316800 is an abundant number, since it is smaller than the sum of its proper divisors (14005001760).

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

5058316800 is a wasteful number, since it uses less digits than its factorization.

5058316800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2364 (or 2340 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 5058316800 is about 71121.8447454789. The cubic root of 5058316800 is about 1716.5982884547.

The spelling of 5058316800 in words is "five billion, fifty-eight million, three hundred sixteen thousand, eight hundred".