71163408000 has 256 divisors, whose sum is σ = 237239009280. Its totient is φ = 18869760000.

The previous prime is 71163407999. The next prime is 71163408031. The reversal of 71163408000 is 80436117.

It is a happy number.

It is a super-3 number, since 3×71163408000³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8683905 + ... + 8692095.

It is an arithmetic number, because the mean of its divisors is an integer number (926714880).

Almost surely, 2^71163408000 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 71163408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118619504640).

71163408000 is an abundant number, since it is smaller than the sum of its proper divisors (166075601280).

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

71163408000 is a wasteful number, since it uses less digits than its factorization.

71163408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8404 (or 8382 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 71163408000 in words is "seventy-one billion, one hundred sixty-three million, four hundred eight thousand".