5709158400 has 576 divisors, whose sum is σ = 21448627200. Its totient is φ = 1327104000.

The previous prime is 5709158327. The next prime is 5709158443. The reversal of 5709158400 is 48519075.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 52377546 + ... + 52377654.

It is an arithmetic number, because the mean of its divisors is an integer number (37237200).

Almost surely, 2^5709158400 is an apocalyptic number.

5709158400 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 5709158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10724313600).

5709158400 is an abundant number, since it is smaller than the sum of its proper divisors (15739468800).

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

5709158400 is a wasteful number, since it uses less digits than its factorization.

5709158400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 5709158400 is about 75558.9729946087. The cubic root of 5709158400 is about 1787.2721890058.

The spelling of 5709158400 in words is "five billion, seven hundred nine million, one hundred fifty-eight thousand, four hundred".