205142167400 has 96 divisors (see below), whose sum is σ = 480514870080. Its totient is φ = 81445440000.

The previous prime is 205142167357. The next prime is 205142167441. The reversal of 205142167400 is 4761241502.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51972227 + ... + 51976173.

It is an arithmetic number, because the mean of its divisors is an integer number (5005363230).

Almost surely, 2^205142167400 is an apocalyptic number.

205142167400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205142167400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240257435040).

205142167400 is an abundant number, since it is smaller than the sum of its proper divisors (275372702680).

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

205142167400 is a wasteful number, since it uses less digits than its factorization.

205142167400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5835 (or 5826 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 32.

The spelling of 205142167400 in words is "two hundred five billion, one hundred forty-two million, one hundred sixty-seven thousand, four hundred".