71283004560 has 320 divisors, whose sum is σ = 262197504000. Its totient is φ = 17760798720.

The previous prime is 71283004543. The next prime is 71283004579. The reversal of 71283004560 is 6540038217.

71283004560 is a `hidden beast` number, since 7 + 12 + 83 + 0 + 0 + 4 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 63 ways as a sum of consecutive naturals, for example, 1923486 + ... + 1960194.

It is an arithmetic number, because the mean of its divisors is an integer number (819367200).

Almost surely, 2^71283004560 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 71283004560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131098752000).

71283004560 is an abundant number, since it is smaller than the sum of its proper divisors (190914499440).

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

71283004560 is a wasteful number, since it uses less digits than its factorization.

71283004560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36791 (or 36779 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 71283004560 in words is "seventy-one billion, two hundred eighty-three million, four thousand, five hundred sixty".