5509760954944 has 63 divisors (see below), whose sum is σ = 11430362619417. Its totient is φ = 2634896504064.

The previous prime is 5509760954933. The next prime is 5509760954969. The reversal of 5509760954944 is 4494590679055.

The square root of 5509760954944 is 2347288.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3195370753600 + 2314390201344 = 1787560^2 + 1521312^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 5509760954944.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 431894614 + ... + 431907370.

Almost surely, 2^{5509760954944} is an apocalyptic number.

5509760954944 is the 2347288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5509760954944

5509760954944 is an abundant number, since it is smaller than the sum of its proper divisors (5920601664473).

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

5509760954944 is an frugal number, since it uses more digits than its factorization.

5509760954944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25572 (or 12782 counting only the distinct ones).

The product of its (nonzero) digits is 244944000, while the sum is 67.

The spelling of 5509760954944 in words is "five trillion, five hundred nine billion, seven hundred sixty million, nine hundred fifty-four thousand, nine hundred forty-four".