5138812108800 has 1080 divisors, whose sum is σ = 20059287217200. Its totient is φ = 1296952197120.

The previous prime is 5138812108751. The next prime is 5138812108813. The reversal of 5138812108800 is 88012188315.

5138812108800 is a `hidden beast` number, since 51 + 388 + 1 + 210 + 8 + 8 + 0 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5042994691 + ... + 5042995709.

It is an arithmetic number, because the mean of its divisors is an integer number (18573414090).

Almost surely, 2^{5138812108800} is an apocalyptic number.

5138812108800 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 5138812108800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10029643608600).

5138812108800 is an abundant number, since it is smaller than the sum of its proper divisors (14920475108400).

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

5138812108800 is an equidigital number, since it uses as much as digits as its factorization.

5138812108800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1048 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 45.

The spelling of 5138812108800 in words is "five trillion, one hundred thirty-eight billion, eight hundred twelve million, one hundred eight thousand, eight hundred".