5192352000 has 648 divisors, whose sum is σ = 20674344600. Its totient is φ = 1250304000.

The previous prime is 5192351963. The next prime is 5192352017. The reversal of 5192352000 is 2532915.

5192352000 is a `hidden beast` number, since 51 + 92 + 3 + 520 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 905769216 + 4286582784 = 30096^2 + 65472^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34847926 + ... + 34848074.

Almost surely, 2^5192352000 is an apocalyptic number.

5192352000 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 5192352000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10337172300).

5192352000 is an abundant number, since it is smaller than the sum of its proper divisors (15481992600).

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

5192352000 is a wasteful number, since it uses less digits than its factorization.

5192352000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 5192352000 is about 72057.9766576886. The cubic root of 5192352000 is about 1731.6284353893.

Adding to 5192352000 its reverse (2532915), we get a palindrome (5194884915).

The spelling of 5192352000 in words is "five billion, one hundred ninety-two million, three hundred fifty-two thousand".