8955256320 has 400 divisors, whose sum is σ = 33777905040. Its totient is φ = 2261385216.

The previous prime is 8955256307. The next prime is 8955256351. The reversal of 8955256320 is 236525598.

8955256320 is a `hidden beast` number, since 8 + 9 + 5 + 5 + 2 + 5 + 632 + 0 = 666.

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

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3938704 + ... + 3940976.

Almost surely, 2^8955256320 is an apocalyptic number.

8955256320 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 8955256320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16888952520).

8955256320 is an abundant number, since it is smaller than the sum of its proper divisors (24822648720).

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

8955256320 is a wasteful number, since it uses less digits than its factorization.

8955256320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2302 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 8955256320 is about 94632.2160788809. The cubic root of 8955256320 is about 2076.6310354044.

The spelling of 8955256320 in words is "eight billion, nine hundred fifty-five million, two hundred fifty-six thousand, three hundred twenty".