5368348800 has 288 divisors, whose sum is σ = 19522472580. Its totient is φ = 1404149760.

The previous prime is 5368348793. The next prime is 5368348807. The reversal of 5368348800 is 88438635.

5368348800 is a `hidden beast` number, since 536 + 8 + 34 + 8 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5368348793) and next prime (5368348807).

It can be written as a sum of positive squares in 6 ways, for example, as 4035806784 + 1332542016 = 63528^2 + 36504^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×5368348800² = 57638337676922880000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5368348807) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1524642 + ... + 1528158.

Almost surely, 2^5368348800 is an apocalyptic number.

5368348800 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 5368348800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9761236290).

5368348800 is an abundant number, since it is smaller than the sum of its proper divisors (14154123780).

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

5368348800 is a wasteful number, since it uses less digits than its factorization.

5368348800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 5368348800 is about 73269.0166441450. The cubic root of 5368348800 is about 1750.9761954876.

The spelling of 5368348800 in words is "five billion, three hundred sixty-eight million, three hundred forty-eight thousand, eight hundred".