271324102055280 has 320 divisors, whose sum is σ = 906035644293120. Its totient is φ = 66971185459200.

The previous prime is 271324102055231. The next prime is 271324102055297. The reversal of 271324102055280 is 82550201423172.

It is a super-2 number, since 2×271324102055280² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4596424806 + ... + 4596483834.

It is an arithmetic number, because the mean of its divisors is an integer number (2831361388416).

Almost surely, 2^{271324102055280} is an apocalyptic number.

271324102055280 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 271324102055280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453017822146560).

271324102055280 is an abundant number, since it is smaller than the sum of its proper divisors (634711542237840).

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

271324102055280 is a wasteful number, since it uses less digits than its factorization.

271324102055280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85960 (or 85954 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 42.

The spelling of 271324102055280 in words is "two hundred seventy-one trillion, three hundred twenty-four billion, one hundred two million, fifty-five thousand, two hundred eighty".