271251680352 has 96 divisors (see below), whose sum is σ = 731689443072. Its totient is φ = 87924248064.

The previous prime is 271251680341. The next prime is 271251680369. The reversal of 271251680352 is 253086152172.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6611133 + ... + 6652035.

It is an arithmetic number, because the mean of its divisors is an integer number (7621765032).

Almost surely, 2^271251680352 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 271251680352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365844721536).

271251680352 is an abundant number, since it is smaller than the sum of its proper divisors (460437762720).

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

271251680352 is a wasteful number, since it uses less digits than its factorization.

271251680352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42820 (or 42812 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 271251680352 in words is "two hundred seventy-one billion, two hundred fifty-one million, six hundred eighty thousand, three hundred fifty-two".