5508681792768 has 864 divisors, whose sum is σ = 21541117516800. Its totient is φ = 1355492413440.

The previous prime is 5508681792631. The next prime is 5508681792773. The reversal of 5508681792768 is 8672971868055.

5508681792768 is a `hidden beast` number, since 550 + 8 + 6 + 8 + 1 + 7 + 9 + 2 + 7 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5508681792696 and 5508681792705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 111210055 + ... + 111259577.

Almost surely, 2^{5508681792768} 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 5508681792768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10770558758400).

5508681792768 is an abundant number, since it is smaller than the sum of its proper divisors (16032435724032).

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

5508681792768 is a wasteful number, since it uses less digits than its factorization.

5508681792768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49596 (or 49565 counting only the distinct ones).

The product of its (nonzero) digits is 406425600, while the sum is 72.

The spelling of 5508681792768 in words is "five trillion, five hundred eight billion, six hundred eighty-one million, seven hundred ninety-two thousand, seven hundred sixty-eight".