5938800065856 has 378 divisors, whose sum is σ = 20351458798398. Its totient is φ = 1650929817600.

The previous prime is 5938800065839. The next prime is 5938800065857. The reversal of 5938800065856 is 6585600088395.

It can be written as a sum of positive squares in 3 ways, for example, as 4471600827456 + 1467199238400 = 2114616^2 + 1211280^2 .

It is a super-2 number, since 2×5938800065856² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 5938800065793 and 5938800065802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5938800065857) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 38561806 + ... + 38715506.

It is an arithmetic number, because the mean of its divisors is an integer number (53839838091).

Almost surely, 2^{5938800065856} is an apocalyptic number.

5938800065856 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 5938800065856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10175729399199).

5938800065856 is an abundant number, since it is smaller than the sum of its proper divisors (14412658732542).

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

5938800065856 is a wasteful number, since it uses less digits than its factorization.

5938800065856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153807 (or 153750 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 5938800065856 in words is "five trillion, nine hundred thirty-eight billion, eight hundred million, sixty-five thousand, eight hundred fifty-six".