5009971200 has 432 divisors, whose sum is σ = 18027205560. Its totient is φ = 1226833920.

The previous prime is 5009971189. The next prime is 5009971201. The reversal of 5009971200 is 21799005.

It is a super-2 number, since 2×5009971200² = 50199622849658880000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5009971201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 25958304 + ... + 25958496.

Almost surely, 2^5009971200 is an apocalyptic number.

5009971200 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 5009971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9013602780).

5009971200 is an abundant number, since it is smaller than the sum of its proper divisors (13017234360).

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

5009971200 is a wasteful number, since it uses less digits than its factorization.

5009971200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 33.

The square root of 5009971200 is about 70781.1500330420. The cubic root of 5009971200 is about 1711.1118927053. Note that the first 3 decimals are identical.

The spelling of 5009971200 in words is "five billion, nine million, nine hundred seventy-one thousand, two hundred".