5967686545720 has 256 divisors, whose sum is σ = 14638303152000. Its totient is φ = 2184196202496.

The previous prime is 5967686545669. The next prime is 5967686545727. The reversal of 5967686545720 is 275456867695.

It is a happy number.

It is a super-2 number, since 2×5967686545720² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5967686545720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5967686545727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 688389546 + ... + 688398214.

Almost surely, 2^{5967686545720} 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 5967686545720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7319151576000).

5967686545720 is an abundant number, since it is smaller than the sum of its proper divisors (8670616606280).

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

5967686545720 is a wasteful number, since it uses less digits than its factorization.

5967686545720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9162 (or 9158 counting only the distinct ones).

The product of its (nonzero) digits is 762048000, while the sum is 70.

The spelling of 5967686545720 in words is "five trillion, nine hundred sixty-seven billion, six hundred eighty-six million, five hundred forty-five thousand, seven hundred twenty".