71179204005 has 384 divisors, whose sum is σ = 171264737280. Its totient is φ = 27512110080.

The previous prime is 71179204001. The next prime is 71179204009. The reversal of 71179204005 is 50040297117.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (71179204001) and next prime (71179204009).

It is not a de Polignac number, because 71179204005 - 2² = 71179204001 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71179204001) by changing a digit.

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 383 ways as a sum of consecutive naturals, for example, 65122239 + ... + 65123331.

It is an arithmetic number, because the mean of its divisors is an integer number (446001920).

Almost surely, 2^71179204005 is an apocalyptic number.

It is an amenable number.

71179204005 is an abundant number, since it is smaller than the sum of its proper divisors (100085533275).

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

71179204005 is a wasteful number, since it uses less digits than its factorization.

71179204005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1171 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 71179204005 in words is "seventy-one billion, one hundred seventy-nine million, two hundred four thousand, five".