5504949384960 has 288 divisors, whose sum is σ = 18005604503040. Its totient is φ = 1432627789824.

The previous prime is 5504949384941. The next prime is 5504949385031. The reversal of 5504949384960 is 694839494055.

It is a junction number, because it is equal to n+sod(n) for n = 5504949384891 and 5504949384900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 202918917 + ... + 202946043.

It is an arithmetic number, because the mean of its divisors is an integer number (62519460080).

Almost surely, 2^{5504949384960} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5504949384960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9002802251520).

5504949384960 is an abundant number, since it is smaller than the sum of its proper divisors (12500655118080).

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

5504949384960 is a wasteful number, since it uses less digits than its factorization.

5504949384960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28423 (or 28409 counting only the distinct ones).

The product of its (nonzero) digits is 167961600, while the sum is 66.

The spelling of 5504949384960 in words is "five trillion, five hundred four billion, nine hundred forty-nine million, three hundred eighty-four thousand, nine hundred sixty".