5012935200 has 648 divisors, whose sum is σ = 22164901668. Its totient is φ = 1056706560.

The previous prime is 5012935181. The next prime is 5012935229. The reversal of 5012935200 is 25392105.

5012935200 is a `hidden beast` number, since 50 + 1 + 2 + 93 + 520 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 2481235344 + 2531699856 = 49812^2 + 50316^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 4585854 + ... + 4586946.

Almost surely, 2^5012935200 is an apocalyptic number.

5012935200 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 5012935200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11082450834).

5012935200 is an abundant number, since it is smaller than the sum of its proper divisors (17151966468).

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

5012935200 is a wasteful number, since it uses less digits than its factorization.

5012935200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1146 (or 1123 counting only the distinct ones).

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

The square root of 5012935200 is about 70802.0847150704. The cubic root of 5012935200 is about 1711.4492689493.

The spelling of 5012935200 in words is "five billion, twelve million, nine hundred thirty-five thousand, two hundred".