5338933741800 has 288 divisors, whose sum is σ = 18072885593880. Its totient is φ = 1412392550400.

The previous prime is 5338933741769. The next prime is 5338933741837. The reversal of 5338933741800 is 81473398335.

5338933741800 is a `hidden beast` number, since 5 + 3 + 3 + 8 + 93 + 374 + 180 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 300354418116 + 5038579323684 = 548046^2 + 2244678^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 181131864 + ... + 181161336.

Almost surely, 2^{5338933741800} is an apocalyptic number.

5338933741800 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 5338933741800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9036442796940).

5338933741800 is an abundant number, since it is smaller than the sum of its proper divisors (12733951852080).

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

5338933741800 is a wasteful number, since it uses less digits than its factorization.

5338933741800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30293 (or 30281 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 5338933741800 in words is "five trillion, three hundred thirty-eight billion, nine hundred thirty-three million, seven hundred forty-one thousand, eight hundred".