6536541120 has 224 divisors, whose sum is σ = 22797089280. Its totient is φ = 1579438080.

The previous prime is 6536541113. The next prime is 6536541149. The reversal of 6536541120 is 211456356.

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, 411730 + ... + 427310.

It is an arithmetic number, because the mean of its divisors is an integer number (101772720).

Almost surely, 2^6536541120 is an apocalyptic number.

6536541120 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 6536541120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11398544640).

6536541120 is an abundant number, since it is smaller than the sum of its proper divisors (16260548160).

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

6536541120 is a wasteful number, since it uses less digits than its factorization.

6536541120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15643 (or 15633 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 6536541120 is about 80848.8782853541. The cubic root of 6536541120 is about 1869.7462284435.

Adding to 6536541120 its reverse (211456356), we get a palindrome (6747997476).

The spelling of 6536541120 in words is "six billion, five hundred thirty-six million, five hundred forty-one thousand, one hundred twenty".