271284798799872 has 1200 divisors, whose sum is σ = 953770800074400. Its totient is φ = 75756617072640.

The previous prime is 271284798799831. The next prime is 271284798799877. The reversal of 271284798799872 is 278997897482172.

271284798799872 is a `hidden beast` number, since 2 + 7 + 128 + 479 + 8 + 7 + 9 + 9 + 8 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (271284798799877) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 210461441404 + ... + 210461442692.

It is an arithmetic number, because the mean of its divisors is an integer number (794809000062).

Almost surely, 2^{271284798799872} is an apocalyptic number.

271284798799872 is a gapful number since it is divisible by the number (22) 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 271284798799872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476885400037200).

271284798799872 is an abundant number, since it is smaller than the sum of its proper divisors (682486001274528).

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

271284798799872 is a wasteful number, since it uses less digits than its factorization.

271284798799872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2462 (or 2427 counting only the distinct ones).

The product of its digits is 28677390336, while the sum is 90.

The spelling of 271284798799872 in words is "two hundred seventy-one trillion, two hundred eighty-four billion, seven hundred ninety-eight million, seven hundred ninety-nine thousand, eight hundred seventy-two".