271279694417172 has 144 divisors (see below), whose sum is σ = 750958510361472. Its totient is φ = 75971569040640.

The previous prime is 271279694417093. The next prime is 271279694417233. The reversal of 271279694417172 is 271714496972172.

271279694417172 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 271279694417097 and 271279694417106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27555513 + ... + 36081375.

It is an arithmetic number, because the mean of its divisors is an integer number (5214989655288).

Almost surely, 2^{271279694417172} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 271279694417172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375479255180736).

271279694417172 is an abundant number, since it is smaller than the sum of its proper divisors (479678815944300).

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

271279694417172 is a wasteful number, since it uses less digits than its factorization.

271279694417172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8526958 (or 8526949 counting only the distinct ones).

The product of its digits is 149361408, while the sum is 69.

The spelling of 271279694417172 in words is "two hundred seventy-one trillion, two hundred seventy-nine billion, six hundred ninety-four million, four hundred seventeen thousand, one hundred seventy-two".