5536971917568 has 1728 divisors, whose sum is σ = 21406974865920. Its totient is φ = 1373218209792.

The previous prime is 5536971917467. The next prime is 5536971917569. The reversal of 5536971917568 is 8657191796355.

5536971917568 is a `hidden beast` number, since 5 + 5 + 36 + 9 + 7 + 19 + 17 + 568 = 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 (72).

It is a junction number, because it is equal to n+sod(n) for n = 5536971917496 and 5536971917505.

It is not an unprimeable number, because it can be changed into a prime (5536971917569) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 82641371871 + ... + 82641371937.

It is an arithmetic number, because the mean of its divisors is an integer number (12388295640).

Almost surely, 2^{5536971917568} 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 5536971917568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10703487432960).

5536971917568 is an abundant number, since it is smaller than the sum of its proper divisors (15870002948352).

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

5536971917568 is a wasteful number, since it uses less digits than its factorization.

5536971917568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269 (or 182 counting only the distinct ones).

The product of its digits is 428652000, while the sum is 72.

The spelling of 5536971917568 in words is "five trillion, five hundred thirty-six billion, nine hundred seventy-one million, nine hundred seventeen thousand, five hundred sixty-eight".