5281721600 has 216 divisors, whose sum is σ = 13529988192. Its totient is φ = 2040422400.

The previous prime is 5281721591. The next prime is 5281721603. The reversal of 5281721600 is 61271825.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5281721603) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 32403119 + ... + 32403281.

Almost surely, 2^5281721600 is an apocalyptic number.

5281721600 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 5281721600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764994096).

5281721600 is an abundant number, since it is smaller than the sum of its proper divisors (8248266592).

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

5281721600 is a wasteful number, since it uses less digits than its factorization.

5281721600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 32.

The square root of 5281721600 is about 72675.4539029513. The cubic root of 5281721600 is about 1741.5067760192.

The spelling of 5281721600 in words is "five billion, two hundred eighty-one million, seven hundred twenty-one thousand, six hundred".