5505505500960 has 72 divisors (see below), whose sum is σ = 18787537526940. Its totient is φ = 1468134799872.

The previous prime is 5505505500881. The next prime is 5505505500967. The reversal of 5505505500960 is 690055055055.

5505505500960 is a `hidden beast` number, since 5 + 5 + 0 + 5 + 5 + 0 + 550 + 0 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4461405737616 + 1044099763344 = 2112204^2 + 1021812^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×5505505500960² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (5505505500967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1911632415 + ... + 1911635294.

Almost surely, 2^{5505505500960} is an apocalyptic number.

It is an amenable number.

5505505500960 is an abundant number, since it is smaller than the sum of its proper divisors (13282032025980).

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

5505505500960 is a wasteful number, since it uses less digits than its factorization.

5505505500960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823267730 (or 3823267719 counting only the distinct ones).

The product of its (nonzero) digits is 843750, while the sum is 45.

The spelling of 5505505500960 in words is "five trillion, five hundred five billion, five hundred five million, five hundred thousand, nine hundred sixty".