8268902824900 has 27 divisors (see below), whose sum is σ = 17943581530119. Its totient is φ = 3307549627680.

The previous prime is 8268902824867. The next prime is 8268902824927. The reversal of 8268902824900 is 94282098628.

The square root of 8268902824900 is 2875570.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1632961959876 + 6635940865024 = 1277874^2 + 2576032^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 28611922 + ... + 28899478.

Almost surely, 2^{8268902824900} is an apocalyptic number.

8268902824900 is the 2875570-th square number.

It is an amenable number.

8268902824900 is an abundant number, since it is smaller than the sum of its proper divisors (9674678705219).

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

8268902824900 is an frugal number, since it uses more digits than its factorization.

8268902824900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575128 (or 287564 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 58.

The spelling of 8268902824900 in words is "eight trillion, two hundred sixty-eight billion, nine hundred two million, eight hundred twenty-four thousand, nine hundred".