271115200 has 84 divisors (see below), whose sum is σ = 690234840. Its totient is φ = 104688640.

The previous prime is 271115179. The next prime is 271115203. The reversal of 271115200 is 2511172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271115203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 43479 + ... + 49321.

Almost surely, 2^271115200 is an apocalyptic number.

271115200 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 271115200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345117420).

271115200 is an abundant number, since it is smaller than the sum of its proper divisors (419119640).

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

271115200 is a wasteful number, since it uses less digits than its factorization.

271115200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5894 (or 5879 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 271115200 is about 16465.5762122071. The cubic root of 271115200 is about 647.2190459817.

Adding to 271115200 its reverse (2511172), we get a palindrome (273626372).

The spelling of 271115200 in words is "two hundred seventy-one million, one hundred fifteen thousand, two hundred".