271761452160 has 128 divisors (see below), whose sum is σ = 944988759360. Its totient is φ = 65881559040.

The previous prime is 271761452117. The next prime is 271761452197. The reversal of 271761452160 is 61254167172.

271761452160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×271761452160² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6412627 + ... + 6454866.

Almost surely, 2^271761452160 is an apocalyptic number.

271761452160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

271761452160 is an abundant number, since it is smaller than the sum of its proper divisors (673227307200).

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

271761452160 is a wasteful number, since it uses less digits than its factorization.

271761452160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12867526 (or 12867514 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 42.

The spelling of 271761452160 in words is "two hundred seventy-one billion, seven hundred sixty-one million, four hundred fifty-two thousand, one hundred sixty".