5273424000 has 640 divisors, whose sum is σ = 21159618480. Its totient is φ = 1293926400.

The previous prime is 5273423999. The next prime is 5273424011. The reversal of 5273424000 is 4243725.

It can be written as a sum of positive squares in 8 ways, for example, as 683090496 + 4590333504 = 26136^2 + 67752^2 .

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16847844 + ... + 16848156.

Almost surely, 2^5273424000 is an apocalyptic number.

5273424000 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 5273424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10579809240).

5273424000 is an abundant number, since it is smaller than the sum of its proper divisors (15886194480).

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

5273424000 is a wasteful number, since it uses less digits than its factorization.

5273424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 5273424000 is about 72618.3447897293. The cubic root of 5273424000 is about 1740.5943272951.

Adding to 5273424000 its reverse (4243725), we get a palindrome (5277667725).

The spelling of 5273424000 in words is "five billion, two hundred seventy-three million, four hundred twenty-four thousand".