8819533852900 has 81 divisors (see below), whose sum is σ = 19294109108617. Its totient is φ = 3499339386400.

The previous prime is 8819533852879. The next prime is 8819533852907. The reversal of 8819533852900 is 92583359188.

The square root of 8819533852900 is 2969770.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3175032187044 + 5644501665856 = 1781862^2 + 2375816^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8819533852907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3890397567 + ... + 3890399833.

Almost surely, 2^{8819533852900} is an apocalyptic number.

8819533852900 is the 2969770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8819533852900

8819533852900 is an abundant number, since it is smaller than the sum of its proper divisors (10474575255717).

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

8819533852900 is an equidigital number, since it uses as much as digits as its factorization.

8819533852900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4810 (or 2405 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 61.

The spelling of 8819533852900 in words is "eight trillion, eight hundred nineteen billion, five hundred thirty-three million, eight hundred fifty-two thousand, nine hundred".