205735172172 has 48 divisors (see below), whose sum is σ = 485592599520. Its totient is φ = 67786887168.

The previous prime is 205735172171. The next prime is 205735172219. The reversal of 205735172172 is 271271537502.

It is a super-2 number, since 2×205735172172² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (205735172171) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3638388 + ... + 3694500.

It is an arithmetic number, because the mean of its divisors is an integer number (10116512490).

Almost surely, 2^205735172172 is an apocalyptic number.

It is an amenable number.

205735172172 is an abundant number, since it is smaller than the sum of its proper divisors (279857427348).

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

205735172172 is a wasteful number, since it uses less digits than its factorization.

205735172172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59642 (or 59640 counting only the distinct ones).

The product of its (nonzero) digits is 205800, while the sum is 42.

The spelling of 205735172172 in words is "two hundred five billion, seven hundred thirty-five million, one hundred seventy-two thousand, one hundred seventy-two".