8518291320 has 768 divisors, whose sum is σ = 35174891520. Its totient is φ = 1625702400.

The previous prime is 8518291297. The next prime is 8518291343. The reversal of 8518291320 is 231928158.

It is an interprime number because it is at equal distance from previous prime (8518291297) and next prime (8518291343).

It is a super-2 number, since 2×8518291320² (a number of 21 digits) contains 22 as substring.

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, 67073097 + ... + 67073223.

It is an arithmetic number, because the mean of its divisors is an integer number (45800640).

Almost surely, 2^8518291320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8518291320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17587445760).

8518291320 is an abundant number, since it is smaller than the sum of its proper divisors (26656600200).

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

8518291320 is a wasteful number, since it uses less digits than its factorization.

8518291320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 8518291320 is about 92294.5898739466. The cubic root of 8518291320 is about 2042.2904013554.

The spelling of 8518291320 in words is "eight billion, five hundred eighteen million, two hundred ninety-one thousand, three hundred twenty".