8122822606080 has 1728 divisors, whose sum is σ = 36441308467200. Its totient is φ = 1658216448000.

The previous prime is 8122822606061. The next prime is 8122822606147. The reversal of 8122822606080 is 806062282218.

8122822606080 is a `hidden beast` number, since 8 + 12 + 2 + 8 + 2 + 26 + 0 + 608 + 0 = 666.

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 (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1592395530 + ... + 1592400630.

Almost surely, 2^{8122822606080} is an apocalyptic number.

8122822606080 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 8122822606080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18220654233600).

8122822606080 is an abundant number, since it is smaller than the sum of its proper divisors (28318485861120).

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

8122822606080 is a wasteful number, since it uses less digits than its factorization.

8122822606080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5193 (or 5162 counting only the distinct ones).

The product of its (nonzero) digits is 294912, while the sum is 45.

Adding to 8122822606080 its reverse (806062282218), we get a palindrome (8928884888298).

The spelling of 8122822606080 in words is "eight trillion, one hundred twenty-two billion, eight hundred twenty-two million, six hundred six thousand, eighty".