8522311680 has 576 divisors, whose sum is σ = 32298739200. Its totient is φ = 2070282240.

The previous prime is 8522311663. The next prime is 8522311687. The reversal of 8522311680 is 861132258.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (8522311687) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 54282162 + ... + 54282318.

It is an arithmetic number, because the mean of its divisors is an integer number (56074200).

Almost surely, 2^8522311680 is an apocalyptic number.

8522311680 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 8522311680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16149369600).

8522311680 is an abundant number, since it is smaller than the sum of its proper divisors (23776427520).

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

8522311680 is a wasteful number, since it uses less digits than its factorization.

8522311680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 8522311680 is about 92316.3673462079. The cubic root of 8522311680 is about 2042.6116493198.

The spelling of 8522311680 in words is "eight billion, five hundred twenty-two million, three hundred eleven thousand, six hundred eighty".