549488778756000 has 768 divisors, whose sum is σ = 1882411993792512. Its totient is φ = 139958744064000.

The previous prime is 549488778755977. The next prime is 549488778756109. The reversal of 549488778756000 is 657877884945.

It is a junction number, because it is equal to n+sod(n) for n = 549488778755898 and 549488778755907.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 33870963889 + ... + 33870980111.

It is an arithmetic number, because the mean of its divisors is an integer number (2451057283584).

Almost surely, 2^{549488778756000} is an apocalyptic number.

549488778756000 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 549488778756000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941205996896256).

549488778756000 is an abundant number, since it is smaller than the sum of its proper divisors (1332923215036512).

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

549488778756000 is a wasteful number, since it uses less digits than its factorization.

549488778756000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17462 (or 17444 counting only the distinct ones).

The product of its (nonzero) digits is 3793305600, while the sum is 78.

The spelling of 549488778756000 in words is "five hundred forty-nine trillion, four hundred eighty-eight billion, seven hundred seventy-eight million, seven hundred fifty-six thousand".