8960518560 has 384 divisors, whose sum is σ = 34329415680. Its totient is φ = 1918992384.

The previous prime is 8960518547. The next prime is 8960518613. The reversal of 8960518560 is 658150698.

It is a super-3 number, since 3×8960518560³ (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6191757 + ... + 6193203.

It is an arithmetic number, because the mean of its divisors is an integer number (89399520).

Almost surely, 2^8960518560 is an apocalyptic number.

8960518560 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 8960518560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17164707840).

8960518560 is an abundant number, since it is smaller than the sum of its proper divisors (25368897120).

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

8960518560 is a wasteful number, since it uses less digits than its factorization.

8960518560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 8960518560 is about 94660.0156349026. The cubic root of 8960518560 is about 2077.0377087136.

The spelling of 8960518560 in words is "eight billion, nine hundred sixty million, five hundred eighteen thousand, five hundred sixty".