71283221856 has 864 divisors, whose sum is σ = 269372113920. Its totient is φ = 18147317760.

The previous prime is 71283221851. The next prime is 71283221897. The reversal of 71283221856 is 65812238217.

71283221856 is a `hidden beast` number, since 71 + 283 + 221 + 85 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71283221851) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 520315420 + ... + 520315556.

It is an arithmetic number, because the mean of its divisors is an integer number (311773280).

Almost surely, 2^71283221856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71283221856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134686056960).

71283221856 is an abundant number, since it is smaller than the sum of its proper divisors (198088892064).

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

71283221856 is a wasteful number, since it uses less digits than its factorization.

71283221856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 239 counting only the distinct ones).

The product of its digits is 322560, while the sum is 45.

The spelling of 71283221856 in words is "seventy-one billion, two hundred eighty-three million, two hundred twenty-one thousand, eight hundred fifty-six".