5381093608000 has 336 divisors, whose sum is σ = 15153071497200. Its totient is φ = 1889276928000.

The previous prime is 5381093607979. The next prime is 5381093608043. The reversal of 5381093608000 is 8063901835.

It can be written as a sum of positive squares in 8 ways, for example, as 2034594137664 + 3346499470336 = 1426392^2 + 1829344^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27976156 + ... + 28167844.

It is an arithmetic number, because the mean of its divisors is an integer number (45098427075).

Almost surely, 2^{5381093608000} is an apocalyptic number.

5381093608000 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 5381093608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7576535748600).

5381093608000 is an abundant number, since it is smaller than the sum of its proper divisors (9771977889200).

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

5381093608000 is a wasteful number, since it uses less digits than its factorization.

5381093608000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191767 (or 191736 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 43.

The spelling of 5381093608000 in words is "five trillion, three hundred eighty-one billion, ninety-three million, six hundred eight thousand".