271690796160 has 768 divisors, whose sum is σ = 1123178434560. Its totient is φ = 61472452608.

The previous prime is 271690796149. The next prime is 271690796173. The reversal of 271690796160 is 61697096172.

271690796160 is a `hidden beast` number, since 2 + 7 + 16 + 9 + 0 + 7 + 9 + 616 + 0 = 666.

271690796160 is digitally balanced in base 3, 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 271690796097 and 271690796106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 112128709 + ... + 112131131.

It is an arithmetic number, because the mean of its divisors is an integer number (1462471920).

Almost surely, 2^271690796160 is an apocalyptic number.

271690796160 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 271690796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (561589217280).

271690796160 is an abundant number, since it is smaller than the sum of its proper divisors (851487638400).

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

271690796160 is a wasteful number, since it uses less digits than its factorization.

271690796160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2567 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 1714608, while the sum is 54.

The spelling of 271690796160 in words is "two hundred seventy-one billion, six hundred ninety million, seven hundred ninety-six thousand, one hundred sixty".