5448880800 has 1152 divisors, whose sum is σ = 24298444800. Its totient is φ = 1161216000.

The previous prime is 5448880777. The next prime is 5448880841. The reversal of 5448880800 is 80888445.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 76744765 + ... + 76744835.

It is an arithmetic number, because the mean of its divisors is an integer number (21092400).

Almost surely, 2^5448880800 is an apocalyptic number.

5448880800 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 5448880800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12149222400).

5448880800 is an abundant number, since it is smaller than the sum of its proper divisors (18849564000).

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

5448880800 is a wasteful number, since it uses less digits than its factorization.

5448880800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 327680, while the sum is 45.

The square root of 5448880800 is about 73816.5347330800. The cubic root of 5448880800 is about 1759.6883918027.

The spelling of 5448880800 in words is "five billion, four hundred forty-eight million, eight hundred eighty thousand, eight hundred".