8959255440 has 320 divisors, whose sum is σ = 30702796800. Its totient is φ = 2152396800.

The previous prime is 8959255439. The next prime is 8959255441. The reversal of 8959255440 is 445529598.

It is an interprime number because it is at equal distance from previous prime (8959255439) and next prime (8959255441).

It is not an unprimeable number, because it can be changed into a prime (8959255441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8622441 + ... + 8623479.

It is an arithmetic number, because the mean of its divisors is an integer number (95946240).

Almost surely, 2^8959255440 is an apocalyptic number.

8959255440 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 8959255440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15351398400).

8959255440 is an abundant number, since it is smaller than the sum of its proper divisors (21743541360).

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

8959255440 is a wasteful number, since it uses less digits than its factorization.

8959255440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1166 (or 1160 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 51.

The square root of 8959255440 is about 94653.3435225613. The cubic root of 8959255440 is about 2076.9401075484.

The spelling of 8959255440 in words is "eight billion, nine hundred fifty-nine million, two hundred fifty-five thousand, four hundred forty".