5014825200 has 720 divisors, whose sum is σ = 22067635200. Its totient is φ = 1024358400.

The previous prime is 5014825187. The next prime is 5014825243. The reversal of 5014825200 is 25284105.

It is a happy number.

5014825200 is a `hidden beast` number, since 50 + 14 + 82 + 520 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 21898686 + ... + 21898914.

Almost surely, 2^5014825200 is an apocalyptic number.

5014825200 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 5014825200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11033817600).

5014825200 is an abundant number, since it is smaller than the sum of its proper divisors (17052810000).

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

5014825200 is a wasteful number, since it uses less digits than its factorization.

5014825200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 336 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 5014825200 is about 70815.4305218856. The cubic root of 5014825200 is about 1711.6643280954.

The spelling of 5014825200 in words is "five billion, fourteen million, eight hundred twenty-five thousand, two hundred".