82247568200 has 108 divisors (see below), whose sum is σ = 222522913035. Its totient is φ = 28189432320.

The previous prime is 82247568119. The next prime is 82247568211. The reversal of 82247568200 is 286574228.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 3289940164 + 78957628036 = 57358^2 + 280994^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=202790.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 28389152 + ... + 28392048.

Almost surely, 2^82247568200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82247568200

82247568200 is an abundant number, since it is smaller than the sum of its proper divisors (140275344835).

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

82247568200 is an equidigital number, since it uses as much as digits as its factorization.

82247568200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5824 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 44.

The spelling of 82247568200 in words is "eighty-two billion, two hundred forty-seven million, five hundred sixty-eight thousand, two hundred".