5368579200 has 288 divisors, whose sum is σ = 20166603600. Its totient is φ = 1356134400.

The previous prime is 5368579193. The next prime is 5368579207. The reversal of 5368579200 is 29758635.

It is a happy number.

5368579200 is a `hidden beast` number, since 53 + 6 + 8 + 579 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5368579193) and next prime (5368579207).

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

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 (5368579207) 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, 542295 + ... + 552105.

Almost surely, 2^5368579200 is an apocalyptic number.

5368579200 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 5368579200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10083301800).

5368579200 is an abundant number, since it is smaller than the sum of its proper divisors (14798024400).

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

5368579200 is a wasteful number, since it uses less digits than its factorization.

5368579200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9860 (or 9840 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The square root of 5368579200 is about 73270.5889153349. The cubic root of 5368579200 is about 1751.0012447258.

The spelling of 5368579200 in words is "five billion, three hundred sixty-eight million, five hundred seventy-nine thousand, two hundred".