5338256800 has 72 divisors (see below), whose sum is σ = 13044477600. Its totient is φ = 2133262080.

The previous prime is 5338256779. The next prime is 5338256837. The reversal of 5338256800 is 86528335.

It is a happy number.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1052671 + ... + 1057729.

It is an arithmetic number, because the mean of its divisors is an integer number (181173300).

Almost surely, 2^5338256800 is an apocalyptic number.

5338256800 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 5338256800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6522238800).

5338256800 is an abundant number, since it is smaller than the sum of its proper divisors (7706220800).

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

5338256800 is a wasteful number, since it uses less digits than its factorization.

5338256800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6398 (or 6385 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 40.

The square root of 5338256800 is about 73063.3752300015. The cubic root of 5338256800 is about 1747.6983946569.

The spelling of 5338256800 in words is "five billion, three hundred thirty-eight million, two hundred fifty-six thousand, eight hundred".