5326963200 has 360 divisors, whose sum is σ = 20535943428. Its totient is φ = 1310883840.

The previous prime is 5326963193. The next prime is 5326963217. The reversal of 5326963200 is 23696235.

5326963200 is a `hidden beast` number, since 5 + 326 + 9 + 6 + 320 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 287099136 + 5039864064 = 16944^2 + 70992^2 .

It is a tau number, because it is divible by the number of its divisors (360).

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 35 ways as a sum of consecutive naturals, for example, 1495822 + ... + 1499378.

Almost surely, 2^5326963200 is an apocalyptic number.

5326963200 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 5326963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10267971714).

5326963200 is an abundant number, since it is smaller than the sum of its proper divisors (15208980228).

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

5326963200 is a wasteful number, since it uses less digits than its factorization.

5326963200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3604 (or 3580 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 5326963200 is about 72986.0479817890. The cubic root of 5326963200 is about 1746.4650493412.

The spelling of 5326963200 in words is "five billion, three hundred twenty-six million, nine hundred sixty-three thousand, two hundred".