71661165200 has 60 divisors (see below), whose sum is σ = 174988401588. Its totient is φ = 28194547200.

The previous prime is 71661165179. The next prime is 71661165223. The reversal of 71661165200 is 256116617.

It can be written as a sum of positive squares in 6 ways, for example, as 17041735936 + 54619429264 = 130544^2 + 233708^2 .

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 11 ways as a sum of consecutive naturals, for example, 1444067 + ... + 1492866.

Almost surely, 2^71661165200 is an apocalyptic number.

It is an amenable number.

71661165200 is an abundant number, since it is smaller than the sum of its proper divisors (103327236388).

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

71661165200 is a wasteful number, since it uses less digits than its factorization.

71661165200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2937012 (or 2937001 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 35.

The spelling of 71661165200 in words is "seventy-one billion, six hundred sixty-one million, one hundred sixty-five thousand, two hundred".