271661867000 has 128 divisors (see below), whose sum is σ = 672327302400. Its totient is φ = 102456144000.

The previous prime is 271661866999. The next prime is 271661867003. The reversal of 271661867000 is 768166172.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271661867003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3975119 + ... + 4042881.

It is an arithmetic number, because the mean of its divisors is an integer number (5252557050).

Almost surely, 2^271661867000 is an apocalyptic number.

271661867000 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 271661867000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336163651200).

271661867000 is an abundant number, since it is smaller than the sum of its proper divisors (400665435400).

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

271661867000 is a wasteful number, since it uses less digits than its factorization.

271661867000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68014 (or 68000 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 44.

The spelling of 271661867000 in words is "two hundred seventy-one billion, six hundred sixty-one million, eight hundred sixty-seven thousand".