5509052686368 has 960 divisors, whose sum is σ = 20707660689408. Its totient is φ = 1395186094080.

The previous prime is 5509052686363. The next prime is 5509052686399. The reversal of 5509052686368 is 8636862509055.

5509052686368 is a `hidden beast` number, since 5 + 5 + 0 + 9 + 0 + 5 + 268 + 6 + 368 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5509052686363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2879796580 + ... + 2879798492.

Almost surely, 2^{5509052686368} 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 5509052686368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10353830344704).

5509052686368 is an abundant number, since it is smaller than the sum of its proper divisors (15198608003040).

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

5509052686368 is a wasteful number, since it uses less digits than its factorization.

5509052686368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2307 (or 2290 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 5509052686368 in words is "five trillion, five hundred nine billion, fifty-two million, six hundred eighty-six thousand, three hundred sixty-eight".