5505974549280 has 288 divisors, whose sum is σ = 19908625791600. Its totient is φ = 1380902240256.

The previous prime is 5505974549227. The next prime is 5505974549311. The reversal of 5505974549280 is 829454795055.

5505974549280 is a `hidden beast` number, since 5 + 5 + 0 + 5 + 9 + 7 + 4 + 549 + 2 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3003718799376 + 2502255749904 = 1733124^2 + 1581852^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×5505974549280³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34412506 + ... + 34572134.

Almost surely, 2^{5505974549280} 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 5505974549280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9954312895800).

5505974549280 is an abundant number, since it is smaller than the sum of its proper divisors (14402651242320).

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

5505974549280 is a wasteful number, since it uses less digits than its factorization.

5505974549280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161076 (or 161065 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 63.

The spelling of 5505974549280 in words is "five trillion, five hundred five billion, nine hundred seventy-four million, five hundred forty-nine thousand, two hundred eighty".