271662817685160 has 64 divisors (see below), whose sum is σ = 889078312428480. Its totient is φ = 65857652771840.

The previous prime is 271662817685123. The next prime is 271662817685221. The reversal of 271662817685160 is 61586718266172.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 271662817685091 and 271662817685100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102902581137 + ... + 102902583776.

It is an arithmetic number, because the mean of its divisors is an integer number (13891848631695).

Almost surely, 2^{271662817685160} is an apocalyptic number.

271662817685160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

271662817685160 is an abundant number, since it is smaller than the sum of its proper divisors (617415494743320).

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

271662817685160 is a wasteful number, since it uses less digits than its factorization.

271662817685160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205805164938 (or 205805164934 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 66.

The spelling of 271662817685160 in words is "two hundred seventy-one trillion, six hundred sixty-two billion, eight hundred seventeen million, six hundred eighty-five thousand, one hundred sixty".