8221853122560 has 2304 divisors, whose sum is σ = 37201944124800. Its totient is φ = 1642258759680.

The previous prime is 8221853122543. The next prime is 8221853122579. The reversal of 8221853122560 is 652213581228.

8221853122560 is a `hidden beast` number, since 8 + 2 + 2 + 1 + 85 + 3 + 1 + 2 + 2 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 36219617167 + ... + 36219617393.

Almost surely, 2^{8221853122560} is an apocalyptic number.

8221853122560 is a gapful number since it is divisible by the number (80) 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 8221853122560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18600972062400).

8221853122560 is an abundant number, since it is smaller than the sum of its proper divisors (28980091002240).

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

8221853122560 is a wasteful number, since it uses less digits than its factorization.

8221853122560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 8221853122560 in words is "eight trillion, two hundred twenty-one billion, eight hundred fifty-three million, one hundred twenty-two thousand, five hundred sixty".