271117092540 has 384 divisors, whose sum is σ = 948016742400. Its totient is φ = 56486384640.

The previous prime is 271117092503. The next prime is 271117092541. The reversal of 271117092540 is 45290711172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271117092541) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 71969737 + ... + 71973503.

It is an arithmetic number, because the mean of its divisors is an integer number (2468793600).

Almost surely, 2^271117092540 is an apocalyptic number.

271117092540 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 271117092540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474008371200).

271117092540 is an abundant number, since it is smaller than the sum of its proper divisors (676899649860).

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

271117092540 is a wasteful number, since it uses less digits than its factorization.

271117092540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4145 (or 4143 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

It can be divided in two parts, 27111 and 7092540, that added together give a triangular number (7119651 = T₃₇₇₃).

The spelling of 271117092540 in words is "two hundred seventy-one billion, one hundred seventeen million, ninety-two thousand, five hundred forty".