8956800000 has 396 divisors, whose sum is σ = 32430080592. Its totient is φ = 2380800000.

The previous prime is 8956799983. The next prime is 8956800037. The reversal of 8956800000 is 86598.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28799845 + ... + 28800155.

Almost surely, 2^8956800000 is an apocalyptic number.

8956800000 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 8956800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16215040296).

8956800000 is an abundant number, since it is smaller than the sum of its proper divisors (23473280592).

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

8956800000 is an equidigital number, since it uses as much as digits as its factorization.

8956800000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 321 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 8956800000 is about 94640.3719350257. The cubic root of 8956800000 is about 2076.7503496748.

Adding to 8956800000 its reverse (86598), we get a palindrome (8956886598).

The spelling of 8956800000 in words is "eight billion, nine hundred fifty-six million, eight hundred thousand".