8955945600 has 576 divisors, whose sum is σ = 34893302400. Its totient is φ = 2012774400.

The previous prime is 8955945589. The next prime is 8955945623. The reversal of 8955945600 is 65495598.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 37161480 + ... + 37161720.

It is an arithmetic number, because the mean of its divisors is an integer number (60578650).

Almost surely, 2^8955945600 is an apocalyptic number.

8955945600 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 8955945600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17446651200).

8955945600 is an abundant number, since it is smaller than the sum of its proper divisors (25937356800).

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

8955945600 is a wasteful number, since it uses less digits than its factorization.

8955945600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 51.

The square root of 8955945600 is about 94635.8578975221. The cubic root of 8955945600 is about 2076.6843129979.

It can be divided in two parts, 895 and 5945600, that added together give a palindrome (5946495).

The spelling of 8955945600 in words is "eight billion, nine hundred fifty-five million, nine hundred forty-five thousand, six hundred".