5368381200 has 540 divisors, whose sum is σ = 23348367588. Its totient is φ = 1132185600.

The previous prime is 5368381199. The next prime is 5368381229. The reversal of 5368381200 is 21838635.

It can be written as a sum of positive squares in 6 ways, for example, as 354041856 + 5014339344 = 18816^2 + 70812^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2292030 + ... + 2294370.

Almost surely, 2^5368381200 is an apocalyptic number.

5368381200 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 5368381200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11674183794).

5368381200 is an abundant number, since it is smaller than the sum of its proper divisors (17979986388).

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

5368381200 is a wasteful number, since it uses less digits than its factorization.

5368381200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2392 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5368381200 is about 73269.2377468198. The cubic root of 5368381200 is about 1750.9797180800.

The spelling of 5368381200 in words is "five billion, three hundred sixty-eight million, three hundred eighty-one thousand, two hundred".