205187838416 has 160 divisors (see below), whose sum is σ = 482838382080. Its totient is φ = 83362406400.

The previous prime is 205187838413. The next prime is 205187838421. The reversal of 205187838416 is 614838781502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (205187838413) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5273465 + ... + 5312231.

It is an arithmetic number, because the mean of its divisors is an integer number (3017739888).

Almost surely, 2^205187838416 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 205187838416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241419191040).

205187838416 is an abundant number, since it is smaller than the sum of its proper divisors (277650543664).

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

205187838416 is a wasteful number, since it uses less digits than its factorization.

205187838416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38893 (or 38887 counting only the distinct ones).

The product of its (nonzero) digits is 2580480, while the sum is 53.

The spelling of 205187838416 in words is "two hundred five billion, one hundred eighty-seven million, eight hundred thirty-eight thousand, four hundred sixteen".