5718988800 has 720 divisors, whose sum is σ = 24330786480. Its totient is φ = 1300561920.

The previous prime is 5718988753. The next prime is 5718988831. The reversal of 5718988800 is 88898175.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

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 59 ways as a sum of consecutive naturals, for example, 29030302 + ... + 29030498.

It is an arithmetic number, because the mean of its divisors is an integer number (33792759).

Almost surely, 2^5718988800 is an apocalyptic number.

5718988800 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 5718988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12165393240).

5718988800 is an abundant number, since it is smaller than the sum of its proper divisors (18611797680).

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

5718988800 is a wasteful number, since it uses less digits than its factorization.

5718988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 54.

The square root of 5718988800 is about 75623.9961916851. The cubic root of 5718988800 is about 1788.2974146037.

The spelling of 5718988800 in words is "five billion, seven hundred eighteen million, nine hundred eighty-eight thousand, eight hundred".