5789491200 has 420 divisors, whose sum is σ = 21508421550. Its totient is φ = 1539440640.

The previous prime is 5789491193. The next prime is 5789491229. The reversal of 5789491200 is 21949875.

It can be written as a sum of positive squares in 3 ways, for example, as 4857532416 + 931958784 = 69696^2 + 30528^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 16588626 + ... + 16588974.

Almost surely, 2^5789491200 is an apocalyptic number.

5789491200 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 5789491200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10754210775).

5789491200 is an abundant number, since it is smaller than the sum of its proper divisors (15718930350).

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

5789491200 is an equidigital number, since it uses as much as digits as its factorization.

5789491200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 397 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 5789491200 is about 76088.7061264679. The cubic root of 5789491200 is about 1795.6159978492.

The spelling of 5789491200 in words is "five billion, seven hundred eighty-nine million, four hundred ninety-one thousand, two hundred".