5051289600 has 936 divisors, whose sum is σ = 22182538560. Its totient is φ = 1114767360.

The previous prime is 5051289569. The next prime is 5051289673. The reversal of 5051289600 is 69821505.

It is a happy number.

5051289600 is a `hidden beast` number, since 5 + 0 + 512 + 89 + 60 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 174182386 + ... + 174182414.

Almost surely, 2^5051289600 is an apocalyptic number.

5051289600 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 5051289600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11091269280).

5051289600 is an abundant number, since it is smaller than the sum of its proper divisors (17131248960).

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

5051289600 is an equidigital number, since it uses as much as digits as its factorization.

5051289600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 5051289600 is about 71072.4250324977. The cubic root of 5051289600 is about 1715.8029995375.

The spelling of 5051289600 in words is "five billion, fifty-one million, two hundred eighty-nine thousand, six hundred".