6525067822560 has 1728 divisors, whose sum is σ = 28117760973120. Its totient is φ = 1369491701760.

The previous prime is 6525067822531. The next prime is 6525067822571. The reversal of 6525067822560 is 652287605256.

6525067822560 is a `hidden beast` number, since 6 + 5 + 2 + 5 + 0 + 6 + 78 + 2 + 2 + 560 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 6525067822497 and 6525067822506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 5969869374 + ... + 5969870466.

It is an arithmetic number, because the mean of its divisors is an integer number (16271852415).

Almost surely, 2^{6525067822560} is an apocalyptic number.

6525067822560 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 6525067822560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14058880486560).

6525067822560 is an abundant number, since it is smaller than the sum of its proper divisors (21592693150560).

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

6525067822560 is a wasteful number, since it uses less digits than its factorization.

6525067822560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1281 (or 1263 counting only the distinct ones).

The product of its (nonzero) digits is 12096000, while the sum is 54.

The spelling of 6525067822560 in words is "six trillion, five hundred twenty-five billion, sixty-seven million, eight hundred twenty-two thousand, five hundred sixty".