5203968000 has 720 divisors, whose sum is σ = 21755190912. Its totient is φ = 1081344000.

The previous prime is 5203967999. The next prime is 5203968031. The reversal of 5203968000 is 8693025.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 473087995 + ... + 473088005.

Almost surely, 2^5203968000 is an apocalyptic number.

5203968000 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 5203968000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10877595456).

5203968000 is an abundant number, since it is smaller than the sum of its proper divisors (16551222912).

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

5203968000 is an equidigital number, since it uses as much as digits as its factorization.

5203968000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 5203968000 is about 72138.5333923556. The cubic root of 5203968000 is about 1732.9187700213.

The spelling of 5203968000 in words is "five billion, two hundred three million, nine hundred sixty-eight thousand".