5368525200 has 180 divisors, whose sum is σ = 19726397028. Its totient is φ = 1347379200.

The previous prime is 5368525187. The next prime is 5368525213. The reversal of 5368525200 is 25258635.

It is a happy number.

5368525200 is a `hidden beast` number, since 53 + 6 + 85 + 2 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5368525187) and next prime (5368525213).

It can be written as a sum of positive squares in 6 ways, for example, as 47114496 + 5321410704 = 6864^2 + 72948^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17340 + ... + 105060.

Almost surely, 2^5368525200 is an apocalyptic number.

5368525200 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 5368525200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9863198514).

5368525200 is an abundant number, since it is smaller than the sum of its proper divisors (14357871828).

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

5368525200 is a wasteful number, since it uses less digits than its factorization.

5368525200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87762 (or 87748 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5368525200 is about 73270.2204173019. The cubic root of 5368525200 is about 1750.9953738749.

The spelling of 5368525200 in words is "five billion, three hundred sixty-eight million, five hundred twenty-five thousand, two hundred".