5681335200 has 288 divisors, whose sum is σ = 19172147904. Its totient is φ = 1460183040.

The previous prime is 5681335189. The next prime is 5681335243. The reversal of 5681335200 is 25331865.

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 47 ways as a sum of consecutive naturals, for example, 12165367 + ... + 12165833.

It is an arithmetic number, because the mean of its divisors is an integer number (66569958).

Almost surely, 2^5681335200 is an apocalyptic number.

5681335200 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 5681335200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9586073952).

5681335200 is an abundant number, since it is smaller than the sum of its proper divisors (13490812704).

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

5681335200 is a wasteful number, since it uses less digits than its factorization.

5681335200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 5681335200 is about 75374.6323374118. The cubic root of 5681335200 is about 1784.3640760565.

The spelling of 5681335200 in words is "five billion, six hundred eighty-one million, three hundred thirty-five thousand, two hundred".