5675618108160 has 1728 divisors, whose sum is σ = 27343837946880. Its totient is φ = 1088570327040.

The previous prime is 5675618108129. The next prime is 5675618108213. The reversal of 5675618108160 is 618018165765.

It is a happy number.

5675618108160 is a `hidden beast` number, since 5 + 6 + 7 + 5 + 618 + 1 + 0 + 8 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 5675618108097 and 5675618108106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 311341926 + ... + 311360154.

Almost surely, 2^{5675618108160} 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 5675618108160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13671918973440).

5675618108160 is an abundant number, since it is smaller than the sum of its proper divisors (21668219838720).

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

5675618108160 is a wasteful number, since it uses less digits than its factorization.

5675618108160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18296 (or 18270 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 5675618108160 in words is "five trillion, six hundred seventy-five billion, six hundred eighteen million, one hundred eight thousand, one hundred sixty".