71008446985920 has 448 divisors, whose sum is σ = 271706663088000. Its totient is φ = 17387050106880.

The previous prime is 71008446985907. The next prime is 71008446985991. The reversal of 71008446985920 is 2958964480017.

71008446985920 is a `hidden beast` number, since 7 + 1 + 0 + 0 + 8 + 4 + 469 + 85 + 92 + 0 = 666.

It is a super-2 number, since 2×71008446985920² (a number of 29 digits) contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 126406 + ... + 11917754.

It is an arithmetic number, because the mean of its divisors is an integer number (606488087250).

Almost surely, 2^{71008446985920} 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 71008446985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135853331544000).

71008446985920 is an abundant number, since it is smaller than the sum of its proper divisors (200698216102080).

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

71008446985920 is a wasteful number, since it uses less digits than its factorization.

71008446985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11791433 (or 11791417 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 71008446985920 in words is "seventy-one trillion, eight billion, four hundred forty-six million, nine hundred eighty-five thousand, nine hundred twenty".