5709798400 has 132 divisors (see below), whose sum is σ = 14643337320. Its totient is φ = 2204876800.

The previous prime is 5709798389. The next prime is 5709798401. The reversal of 5709798400 is 48979075.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5709798401) 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 11 ways as a sum of consecutive naturals, for example, 738555 + ... + 746245.

Almost surely, 2^5709798400 is an apocalyptic number.

5709798400 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 5709798400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7321668660).

5709798400 is an abundant number, since it is smaller than the sum of its proper divisors (8933538920).

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

5709798400 is a wasteful number, since it uses less digits than its factorization.

5709798400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7750 (or 7727 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 49.

The square root of 5709798400 is about 75563.2079784865. The cubic root of 5709798400 is about 1787.3389712635.

The spelling of 5709798400 in words is "five billion, seven hundred nine million, seven hundred ninety-eight thousand, four hundred".