271290199680 has 384 divisors, whose sum is σ = 994321785600. Its totient is φ = 67922657280.

The previous prime is 271290199657. The next prime is 271290199769. The reversal of 271290199680 is 86991092172.

271290199680 is a `hidden beast` number, since 271 + 290 + 1 + 9 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42983725 + ... + 42990035.

It is an arithmetic number, because the mean of its divisors is an integer number (2589379650).

Almost surely, 2^271290199680 is an apocalyptic number.

271290199680 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 271290199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497160892800).

271290199680 is an abundant number, since it is smaller than the sum of its proper divisors (723031585920).

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

271290199680 is a wasteful number, since it uses less digits than its factorization.

271290199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6792 (or 6777 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 271290199680 in words is "two hundred seventy-one billion, two hundred ninety million, one hundred ninety-nine thousand, six hundred eighty".