5709484800 has 864 divisors, whose sum is σ = 23115187200. Its totient is φ = 1373552640.

The previous prime is 5709484789. The next prime is 5709484813. The reversal of 5709484800 is 84849075.

It is a tau number, because it is divible by the number of its divisors (864).

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 95 ways as a sum of consecutive naturals, for example, 121478377 + ... + 121478423.

Almost surely, 2^5709484800 is an apocalyptic number.

5709484800 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 5709484800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11557593600).

5709484800 is an abundant number, since it is smaller than the sum of its proper divisors (17405702400).

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

5709484800 is a wasteful number, since it uses less digits than its factorization.

5709484800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 5709484800 is about 75561.1328660443. The cubic root of 5709484800 is about 1787.3062485808.

The spelling of 5709484800 in words is "five billion, seven hundred nine million, four hundred eighty-four thousand, eight hundred".