5549948275200 has 1920 divisors, whose sum is σ = 23629787596800. Its totient is φ = 1117740072960.

The previous prime is 5549948275171. The next prime is 5549948275231. The reversal of 5549948275200 is 25728499455.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (60).

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, 8421772471 + ... + 8421773129.

It is an arithmetic number, because the mean of its divisors is an integer number (12307181040).

Almost surely, 2^{5549948275200} is an apocalyptic number.

5549948275200 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 5549948275200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11814893798400).

5549948275200 is an abundant number, since it is smaller than the sum of its proper divisors (18079839321600).

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

5549948275200 is a wasteful number, since it uses less digits than its factorization.

5549948275200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 36288000, while the sum is 60.

The spelling of 5549948275200 in words is "five trillion, five hundred forty-nine billion, nine hundred forty-eight million, two hundred seventy-five thousand, two hundred".