5919344200 has 288 divisors, whose sum is σ = 17538252480. Its totient is φ = 1818432000.

The previous prime is 5919344191. The next prime is 5919344203. The reversal of 5919344200 is 24439195.

It is a self number, because there is not a number n which added to its sum of digits gives 5919344200.

It is not an unprimeable number, because it can be changed into a prime (5919344203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14059990 + ... + 14060410.

It is an arithmetic number, because the mean of its divisors is an integer number (60896710).

Almost surely, 2^5919344200 is an apocalyptic number.

5919344200 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 5919344200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8769126240).

5919344200 is an abundant number, since it is smaller than the sum of its proper divisors (11618908280).

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

5919344200 is a wasteful number, since it uses less digits than its factorization.

5919344200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 37.

The square root of 5919344200 is about 76937.2744513347. The cubic root of 5919344200 is about 1808.9415379801.

The spelling of 5919344200 in words is "five billion, nine hundred nineteen million, three hundred forty-four thousand, two hundred".