271128704172480 has 896 divisors, whose sum is σ = 1233617478912000. Its totient is φ = 54395723612160.

The previous prime is 271128704172461. The next prime is 271128704172493. The reversal of 271128704172480 is 84271407821172.

271128704172480 is a `hidden beast` number, since 2 + 7 + 1 + 1 + 28 + 70 + 4 + 1 + 72 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 12266556 + ... + 26319684.

It is an arithmetic number, because the mean of its divisors is an integer number (1376805222000).

Almost surely, 2^{271128704172480} is an apocalyptic number.

271128704172480 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 271128704172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (616808739456000).

271128704172480 is an abundant number, since it is smaller than the sum of its proper divisors (962488774739520).

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

271128704172480 is a wasteful number, since it uses less digits than its factorization.

271128704172480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14053202 (or 14053186 counting only the distinct ones).

The product of its (nonzero) digits is 2809856, while the sum is 54.

The spelling of 271128704172480 in words is "two hundred seventy-one trillion, one hundred twenty-eight billion, seven hundred four million, one hundred seventy-two thousand, four hundred eighty".