8957600000 has 108 divisors (see below), whose sum is σ = 22350827268. Its totient is φ = 3582720000.

The previous prime is 8957599991. The next prime is 8957600017. The reversal of 8957600000 is 67598.

It can be written as a sum of positive squares in 6 ways, for example, as 8235925504 + 721674496 = 90752^2 + 26864^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 794402 + ... + 805598.

Almost surely, 2^8957600000 is an apocalyptic number.

8957600000 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 8957600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11175413634).

8957600000 is an abundant number, since it is smaller than the sum of its proper divisors (13393227268).

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

8957600000 is an frugal number, since it uses more digits than its factorization.

8957600000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11238 (or 11204 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The square root of 8957600000 is about 94644.5983667319. The cubic root of 8957600000 is about 2076.8121779624.

Adding to 8957600000 its reverse (67598), we get a palindrome (8957667598).

The spelling of 8957600000 in words is "eight billion, nine hundred fifty-seven million, six hundred thousand".