205145711120 has 160 divisors (see below), whose sum is σ = 550614663168. Its totient is φ = 69626801664.

The previous prime is 205145711119. The next prime is 205145711153. The reversal of 205145711120 is 21117541502.

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, 34632479 + ... + 34638401.

Almost surely, 2^205145711120 is an apocalyptic number.

205145711120 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 205145711120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275307331584).

205145711120 is an abundant number, since it is smaller than the sum of its proper divisors (345468952048).

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

205145711120 is a wasteful number, since it uses less digits than its factorization.

205145711120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6557 (or 6551 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 29.

The spelling of 205145711120 in words is "two hundred five billion, one hundred forty-five million, seven hundred eleven thousand, one hundred twenty".