5010933600 has 216 divisors, whose sum is σ = 18709661880. Its totient is φ = 1257615360.

The previous prime is 5010933563. The next prime is 5010933607. The reversal of 5010933600 is 63390105.

5010933600 is a `hidden beast` number, since 50 + 1 + 0 + 9 + 3 + 3 + 600 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5010933607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 101931 + ... + 142869.

It is an arithmetic number, because the mean of its divisors is an integer number (86618805).

Almost surely, 2^5010933600 is an apocalyptic number.

5010933600 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 5010933600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9354830940).

5010933600 is an abundant number, since it is smaller than the sum of its proper divisors (13698728280).

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

5010933600 is a wasteful number, since it uses less digits than its factorization.

5010933600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40982 (or 40966 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 5010933600 is about 70787.9481267821. The cubic root of 5010933600 is about 1711.2214521275.

The spelling of 5010933600 in words is "five billion, ten million, nine hundred thirty-three thousand, six hundred".