271352253172 has 192 divisors, whose sum is σ = 646443399168. Its totient is φ = 96240960000.

The previous prime is 271352253167. The next prime is 271352253223.

271352253172 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×271352253172³ (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 114445147 + ... + 114447517.

It is an arithmetic number, because the mean of its divisors is an integer number (3366892704).

Almost surely, 2^271352253172 is an apocalyptic number.

271352253172 is a gapful number since it is divisible by the number (22) 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 271352253172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323221699584).

271352253172 is an abundant number, since it is smaller than the sum of its proper divisors (375091145996).

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

271352253172 is a wasteful number, since it uses less digits than its factorization.

271352253172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2790 (or 2788 counting only the distinct ones).

The product of its digits is 176400, while the sum is 40.

The spelling of 271352253172 in words is "two hundred seventy-one billion, three hundred fifty-two million, two hundred fifty-three thousand, one hundred seventy-two".