5548608000 has 960 divisors, whose sum is σ = 23363683200. Its totient is φ = 1293926400.

The previous prime is 5548607993. The next prime is 5548608059. The reversal of 5548608000 is 8068455.

It is a happy number.

5548608000 is a `hidden beast` number, since 5 + 5 + 48 + 608 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 95 ways as a sum of consecutive naturals, for example, 292031991 + ... + 292032009.

It is an arithmetic number, because the mean of its divisors is an integer number (24337170).

Almost surely, 2^5548608000 is an apocalyptic number.

5548608000 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 5548608000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11681841600).

5548608000 is an abundant number, since it is smaller than the sum of its proper divisors (17815075200).

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

5548608000 is a wasteful number, since it uses less digits than its factorization.

5548608000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 5548608000 is about 74488.9790505951. The cubic root of 5548608000 is about 1770.3590193880.

The spelling of 5548608000 in words is "five billion, five hundred forty-eight million, six hundred eight thousand".