271711480320 has 720 divisors, whose sum is σ = 1117233456768. Its totient is φ = 62078607360.

The previous prime is 271711480307. The next prime is 271711480361. The reversal of 271711480320 is 23084117172.

271711480320 is a `hidden beast` number, since 2 + 7 + 171 + 1 + 480 + 3 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 117571965 + ... + 117574275.

Almost surely, 2^271711480320 is an apocalyptic number.

271711480320 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 271711480320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (558616728384).

271711480320 is an abundant number, since it is smaller than the sum of its proper divisors (845521976448).

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

271711480320 is an frugal number, since it uses more digits than its factorization.

271711480320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2365 (or 2328 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

Adding to 271711480320 its reverse (23084117172), we get a palindrome (294795597492).

The spelling of 271711480320 in words is "two hundred seventy-one billion, seven hundred eleven million, four hundred eighty thousand, three hundred twenty".