8957975200 has 144 divisors (see below), whose sum is σ = 22829148216. Its totient is φ = 3429171200.

The previous prime is 8957975179. The next prime is 8957975207. The reversal of 8957975200 is 25797598.

It can be written as a sum of positive squares in 12 ways, for example, as 199261456 + 8758713744 = 14116^2 + 93588^2 .

It is not an unprimeable number, because it can be changed into a prime (8957975207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1735824 + ... + 1740976.

Almost surely, 2^8957975200 is an apocalyptic number.

8957975200 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 8957975200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11414574108).

8957975200 is an abundant number, since it is smaller than the sum of its proper divisors (13871173016).

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

8957975200 is a wasteful number, since it uses less digits than its factorization.

8957975200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5267 (or 5254 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 52.

The square root of 8957975200 is about 94646.5804981881. The cubic root of 8957975200 is about 2076.8411741611.

The spelling of 8957975200 in words is "eight billion, nine hundred fifty-seven million, nine hundred seventy-five thousand, two hundred".