8628822362160 has 960 divisors, whose sum is σ = 38973611529216. Its totient is φ = 1652294246400.

The previous prime is 8628822362137. The next prime is 8628822362177. The reversal of 8628822362160 is 612632288268.

It is a happy number.

8628822362160 is a `hidden beast` number, since 8 + 6 + 2 + 8 + 8 + 2 + 2 + 3 + 621 + 6 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 8628822362097 and 8628822362106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 441791595 + ... + 441811125.

Almost surely, 2^{8628822362160} is an apocalyptic number.

8628822362160 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 8628822362160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19486805764608).

8628822362160 is an abundant number, since it is smaller than the sum of its proper divisors (30344789167056).

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

8628822362160 is a wasteful number, since it uses less digits than its factorization.

8628822362160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20194 (or 20185 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

The spelling of 8628822362160 in words is "eight trillion, six hundred twenty-eight billion, eight hundred twenty-two million, three hundred sixty-two thousand, one hundred sixty".