271264499405064 has 1152 divisors, whose sum is σ = 892441525248000. Its totient is φ = 74082387456000.

The previous prime is 271264499405059. The next prime is 271264499405129. The reversal of 271264499405064 is 460504994462172.

271264499405064 is a `hidden beast` number, since 2 + 7 + 126 + 4 + 49 + 9 + 405 + 0 + 64 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 271264499404992 and 271264499405010.

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 287 ways as a sum of consecutive naturals, for example, 152653065744 + ... + 152653067520.

It is an arithmetic number, because the mean of its divisors is an integer number (774688824000).

Almost surely, 2^{271264499405064} is an apocalyptic number.

271264499405064 is a gapful number since it is divisible by the number (24) 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 271264499405064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (446220762624000).

271264499405064 is an abundant number, since it is smaller than the sum of its proper divisors (621177025842936).

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

271264499405064 is a wasteful number, since it uses less digits than its factorization.

271264499405064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2351 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 271264499405064 in words is "two hundred seventy-one trillion, two hundred sixty-four billion, four hundred ninety-nine million, four hundred five thousand, sixty-four".