8975445600 has 288 divisors, whose sum is σ = 32133943296. Its totient is φ = 2157926400.

The previous prime is 8975445581. The next prime is 8975445631. The reversal of 8975445600 is 65445798.

8975445600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8975445600.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3351462 + ... + 3354138.

It is an arithmetic number, because the mean of its divisors is an integer number (111576192).

Almost surely, 2^8975445600 is an apocalyptic number.

8975445600 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 8975445600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16066971648).

8975445600 is an abundant number, since it is smaller than the sum of its proper divisors (23158497696).

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

8975445600 is a wasteful number, since it uses less digits than its factorization.

8975445600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2838 (or 2825 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 8975445600 is about 94738.8283651429. The cubic root of 8975445600 is about 2078.1904256561.

The spelling of 8975445600 in words is "eight billion, nine hundred seventy-five million, four hundred forty-five thousand, six hundred".