271213132010688 has 672 divisors, whose sum is σ = 905698556725248. Its totient is φ = 75992048640000.

The previous prime is 271213132010683. The next prime is 271213132010729. The reversal of 271213132010688 is 886010231312172.

271213132010688 is a `hidden beast` number, since 2 + 7 + 1 + 213 + 1 + 320 + 106 + 8 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is not an unprimeable number, because it can be changed into a prime (271213132010683) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 219250712406 + ... + 219250713642.

Almost surely, 2^{271213132010688} is an apocalyptic number.

271213132010688 is a gapful number since it is divisible by the number (28) 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 271213132010688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (452849278362624).

271213132010688 is an abundant number, since it is smaller than the sum of its proper divisors (634485424714560).

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

271213132010688 is a wasteful number, since it uses less digits than its factorization.

271213132010688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3261 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 271213132010688 in words is "two hundred seventy-one trillion, two hundred thirteen billion, one hundred thirty-two million, ten thousand, six hundred eighty-eight".