6535582560 has 288 divisors, whose sum is σ = 24216192000. Its totient is φ = 1595510784.

The previous prime is 6535582541. The next prime is 6535582601. The reversal of 6535582560 is 652855356.

6535582560 is a `hidden beast` number, since 6 + 5 + 3 + 5 + 5 + 82 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2376066 + ... + 2378814.

It is an arithmetic number, because the mean of its divisors is an integer number (84084000).

Almost surely, 2^6535582560 is an apocalyptic number.

6535582560 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 6535582560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12108096000).

6535582560 is an abundant number, since it is smaller than the sum of its proper divisors (17680609440).

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

6535582560 is a wasteful number, since it uses less digits than its factorization.

6535582560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2910 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The square root of 6535582560 is about 80842.9499709158. The cubic root of 6535582560 is about 1869.6548268123.

The spelling of 6535582560 in words is "six billion, five hundred thirty-five million, five hundred eighty-two thousand, five hundred sixty".