6509789069056 has 864 divisors, whose sum is σ = 17926051368960. Its totient is φ = 2328005836800.

The previous prime is 6509789069029. The next prime is 6509789069059. The reversal of 6509789069056 is 6509609879056.

It is a super-2 number, since 2×6509789069056² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6509789069059) 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 95 ways as a sum of consecutive naturals, for example, 18133117005 + ... + 18133117363.

It is an arithmetic number, because the mean of its divisors is an integer number (20747744640).

Almost surely, 2^{6509789069056} 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 6509789069056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8963025684480).

6509789069056 is an abundant number, since it is smaller than the sum of its proper divisors (11416262299904).

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

6509789069056 is a wasteful number, since it uses less digits than its factorization.

6509789069056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 220449600, while the sum is 70.

The spelling of 6509789069056 in words is "six trillion, five hundred nine billion, seven hundred eighty-nine million, sixty-nine thousand, fifty-six".