8531066880 has 960 divisors, whose sum is σ = 37747584000. Its totient is φ = 1783627776.

The previous prime is 8531066839. The next prime is 8531066897. The reversal of 8531066880 is 886601358.

It is a tau number, because it is divible by the number of its divisors (960).

It is a super-2 number, since 2×8531066880² (a number of 21 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 294174706 + ... + 294174734.

It is an arithmetic number, because the mean of its divisors is an integer number (39320400).

Almost surely, 2^8531066880 is an apocalyptic number.

8531066880 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 8531066880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18873792000).

8531066880 is an abundant number, since it is smaller than the sum of its proper divisors (29216517120).

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

8531066880 is a wasteful number, since it uses less digits than its factorization.

8531066880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 8531066880 is about 92363.7747171476. The cubic root of 8531066880 is about 2043.3108865541.

The spelling of 8531066880 in words is "eight billion, five hundred thirty-one million, sixty-six thousand, eight hundred eighty".