271251444152172 has 288 divisors, whose sum is σ = 710858294306496. Its totient is φ = 80423948943360.

The previous prime is 271251444152159. The next prime is 271251444152233.

271251444152172 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24062040328 + ... + 24062051600.

It is an arithmetic number, because the mean of its divisors is an integer number (2468257966342).

Almost surely, 2^{271251444152172} is an apocalyptic number.

271251444152172 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 271251444152172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355429147153248).

271251444152172 is an abundant number, since it is smaller than the sum of its proper divisors (439606850154324).

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

271251444152172 is a wasteful number, since it uses less digits than its factorization.

271251444152172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13169 (or 13156 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 48.

The spelling of 271251444152172 in words is "two hundred seventy-one trillion, two hundred fifty-one billion, four hundred forty-four million, one hundred fifty-two thousand, one hundred seventy-two".