842272205000 has 60 divisors (see below), whose sum is σ = 1973595837015. Its totient is φ = 336882924000.

The previous prime is 842272204981. The next prime is 842272205009. The reversal of 842272205000 is 502272248.

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 3 ways, for example, as 194733333796 + 647538871204 = 441286^2 + 804698^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=648950.

It is not an unprimeable number, because it can be changed into a prime (842272205009) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 64888511 + ... + 64901489.

Almost surely, 2^842272205000 is an apocalyptic number.

It is an amenable number.

842272205000 is an abundant number, since it is smaller than the sum of its proper divisors (1131323632015).

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

842272205000 is an frugal number, since it uses more digits than its factorization.

842272205000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25984 (or 12986 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 32.

Multiplying 842272205000 by its sum of digits (32), we get a square (26952710560000 = 5191600²).

Adding to 842272205000 its reverse (502272248), we get a palindrome (842774477248).

The spelling of 842272205000 in words is "eight hundred forty-two billion, two hundred seventy-two million, two hundred five thousand".