6520590535680 has 1056 divisors, whose sum is σ = 25227866664000. Its totient is φ = 1546787487744.

The previous prime is 6520590535663. The next prime is 6520590535681. The reversal of 6520590535680 is 865350950256.

6520590535680 is a `hidden beast` number, since 6 + 5 + 20 + 5 + 9 + 0 + 53 + 568 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (6520590535681) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2415926971 + ... + 2415929669.

It is an arithmetic number, because the mean of its divisors is an integer number (23890025250).

Almost surely, 2^{6520590535680} is an apocalyptic number.

6520590535680 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 6520590535680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12613933332000).

6520590535680 is an abundant number, since it is smaller than the sum of its proper divisors (18707276128320).

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

6520590535680 is a wasteful number, since it uses less digits than its factorization.

6520590535680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2889 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 9720000, while the sum is 54.

The spelling of 6520590535680 in words is "six trillion, five hundred twenty billion, five hundred ninety million, five hundred thirty-five thousand, six hundred eighty".