5826988800 has 216 divisors, whose sum is σ = 21367608080. Its totient is φ = 1553817600.

The previous prime is 5826988793. The next prime is 5826988801. The reversal of 5826988800 is 88896285.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is not an unprimeable number, because it can be changed into a prime (5826988801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155940 + ... + 189660.

Almost surely, 2^5826988800 is an apocalyptic number.

5826988800 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 5826988800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10683804040).

5826988800 is an abundant number, since it is smaller than the sum of its proper divisors (15540619280).

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

5826988800 is a wasteful number, since it uses less digits than its factorization.

5826988800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33756 (or 33731 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The square root of 5826988800 is about 76334.7155624490. The cubic root of 5826988800 is about 1799.4842967086.

The spelling of 5826988800 in words is "five billion, eight hundred twenty-six million, nine hundred eighty-eight thousand, eight hundred".