6505885056 has 256 divisors, whose sum is σ = 19678982400. Its totient is φ = 1886330880.

The previous prime is 6505885039. The next prime is 6505885063.

6505885056 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 6505884996 and 6505885014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21191655 + ... + 21191961.

It is an arithmetic number, because the mean of its divisors is an integer number (76871025).

Almost surely, 2^6505885056 is an apocalyptic number.

6505885056 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6505885056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9839491200).

6505885056 is an abundant number, since it is smaller than the sum of its proper divisors (13173097344).

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

6505885056 is a wasteful number, since it uses less digits than its factorization.

6505885056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 525 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 48.

The square root of 6505885056 is about 80659.0667935106. The cubic root of 6505885056 is about 1866.8186402345.

The spelling of 6505885056 in words is "six billion, five hundred five million, eight hundred eighty-five thousand, fifty-six".