6535580865660 has 768 divisors, whose sum is σ = 25929953280000. Its totient is φ = 1354763854080.

The previous prime is 6535580865659. The next prime is 6535580865701. The reversal of 6535580865660 is 665680855356.

6535580865660 is a `hidden beast` number, since 65 + 3 + 5 + 5 + 8 + 0 + 8 + 6 + 566 + 0 = 666.

It is a super-2 number, since 2×6535580865660² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 894423727 + ... + 894431033.

It is an arithmetic number, because the mean of its divisors is an integer number (33762960000).

Almost surely, 2^{6535580865660} is an apocalyptic number.

6535580865660 is a gapful number since it is divisible by the number (60) 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 6535580865660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12964976640000).

6535580865660 is an abundant number, since it is smaller than the sum of its proper divisors (19394372414340).

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

6535580865660 is a wasteful number, since it uses less digits than its factorization.

6535580865660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7796 (or 7774 counting only the distinct ones).

The product of its (nonzero) digits is 155520000, while the sum is 63.

The spelling of 6535580865660 in words is "six trillion, five hundred thirty-five billion, five hundred eighty million, eight hundred sixty-five thousand, six hundred sixty".