84272239820200 has 144 divisors (see below), whose sum is σ = 202577623024860. Its totient is φ = 32594303616000.

The previous prime is 84272239820189. The next prime is 84272239820239. The reversal of 84272239820200 is 202893227248.

It can be written as a sum of positive squares in 6 ways, for example, as 1328270080036 + 82943969740164 = 1152506^2 + 9107358^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 41476020 + ... + 43460380.

Almost surely, 2^{84272239820200} 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 84272239820200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101288811512430).

84272239820200 is an abundant number, since it is smaller than the sum of its proper divisors (118305383204660).

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

84272239820200 is a wasteful number, since it uses less digits than its factorization.

84272239820200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984556 (or 1984488 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 49.

The spelling of 84272239820200 in words is "eighty-four trillion, two hundred seventy-two billion, two hundred thirty-nine million, eight hundred twenty thousand, two hundred".