205172049292 has 96 divisors (see below), whose sum is σ = 440981452800. Its totient is φ = 81525270528.

The previous prime is 205172049289. The next prime is 205172049307. The reversal of 205172049292 is 292940271502.

205172049292 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17179059 + ... + 17190997.

It is an arithmetic number, because the mean of its divisors is an integer number (4593556800).

Almost surely, 2^205172049292 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 205172049292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220490726400).

205172049292 is an abundant number, since it is smaller than the sum of its proper divisors (235809403508).

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

205172049292 is a wasteful number, since it uses less digits than its factorization.

205172049292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12503 (or 12501 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 43.

It can be divided in two parts, 2051720 and 49292, that added together give a palindrome (2101012).

The spelling of 205172049292 in words is "two hundred five billion, one hundred seventy-two million, forty-nine thousand, two hundred ninety-two".