5386381410816 has 800 divisors, whose sum is σ = 19864141292160. Its totient is φ = 1418509615104.

The previous prime is 5386381410811. The next prime is 5386381410847. The reversal of 5386381410816 is 6180141836835.

It is a happy number.

5386381410816 is a `hidden beast` number, since 538 + 6 + 3 + 8 + 14 + 10 + 81 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5386381410811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 204070516 + ... + 204096908.

Almost surely, 2^{5386381410816} is an apocalyptic number.

5386381410816 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 5386381410816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9932070646080).

5386381410816 is an abundant number, since it is smaller than the sum of its proper divisors (14477759881344).

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

5386381410816 is a wasteful number, since it uses less digits than its factorization.

5386381410816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26486 (or 26461 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 5386381410816 in words is "five trillion, three hundred eighty-six billion, three hundred eighty-one million, four hundred ten thousand, eight hundred sixteen".