5305891200 has 192 divisors, whose sum is σ = 17689492800. Its totient is φ = 1397647360.

The previous prime is 5305891169. The next prime is 5305891231. The reversal of 5305891200 is 21985035.

It is an interprime number because it is at equal distance from previous prime (5305891169) and next prime (5305891231).

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 793471 + ... + 800129.

It is an arithmetic number, because the mean of its divisors is an integer number (92132775).

Almost surely, 2^5305891200 is an apocalyptic number.

5305891200 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 5305891200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8844746400).

5305891200 is an abundant number, since it is smaller than the sum of its proper divisors (12383601600).

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

5305891200 is a wasteful number, since it uses less digits than its factorization.

5305891200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6769 (or 6752 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 5305891200 is about 72841.5485832090. The cubic root of 5305891200 is about 1744.1591611889.

The spelling of 5305891200 in words is "five billion, three hundred five million, eight hundred ninety-one thousand, two hundred".