271788380160 has 312 divisors, whose sum is σ = 955885768320. Its totient is φ = 65886289920.

The previous prime is 271788380159. The next prime is 271788380173. The reversal of 271788380160 is 61083887172.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7415961 + ... + 7452519.

Almost surely, 2^271788380160 is an apocalyptic number.

271788380160 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 271788380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477942884160).

271788380160 is an abundant number, since it is smaller than the sum of its proper divisors (684097388160).

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

271788380160 is a wasteful number, since it uses less digits than its factorization.

271788380160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36613 (or 36580 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The spelling of 271788380160 in words is "two hundred seventy-one billion, seven hundred eighty-eight million, three hundred eighty thousand, one hundred sixty".