271141772000 has 768 divisors, whose sum is σ = 806359567104. Its totient is φ = 88473600000.

The previous prime is 271141771969. The next prime is 271141772003. The reversal of 271141772000 is 277141172.

271141772000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (271141772003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2684571950 + ... + 2684572050.

It is an arithmetic number, because the mean of its divisors is an integer number (1049947353).

Almost surely, 2^271141772000 is an apocalyptic number.

271141772000 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 271141772000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403179783552).

271141772000 is an abundant number, since it is smaller than the sum of its proper divisors (535217795104).

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

271141772000 is a wasteful number, since it uses less digits than its factorization.

271141772000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 5488, while the sum is 32.

The spelling of 271141772000 in words is "two hundred seventy-one billion, one hundred forty-one million, seven hundred seventy-two thousand".