822284386560 has 1152 divisors, whose sum is σ = 3668415528960. Its totient is φ = 169771106304.

The previous prime is 822284386519. The next prime is 822284386597. The reversal of 822284386560 is 65683482228.

It is a happy number.

822284386560 is a `hidden beast` number, since 8 + 22 + 28 + 4 + 38 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×822284386560² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 822284386497 and 822284386506.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 147810339 + ... + 147815901.

It is an arithmetic number, because the mean of its divisors is an integer number (3184388480).

Almost surely, 2^822284386560 is an apocalyptic number.

822284386560 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 822284386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1834207764480).

822284386560 is an abundant number, since it is smaller than the sum of its proper divisors (2846131142400).

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

822284386560 is a wasteful number, since it uses less digits than its factorization.

822284386560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5660 (or 5640 counting only the distinct ones).

The product of its (nonzero) digits is 8847360, while the sum is 54.

The spelling of 822284386560 in words is "eight hundred twenty-two billion, two hundred eighty-four million, three hundred eighty-six thousand, five hundred sixty".