71605123104 has 96 divisors (see below), whose sum is σ = 195751080000. Its totient is φ = 22890527744.

The previous prime is 71605122961. The next prime is 71605123123. The reversal of 71605123104 is 40132150617.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328507 + ... + 501125.

It is an arithmetic number, because the mean of its divisors is an integer number (2039073750).

Almost surely, 2^71605123104 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 71605123104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97875540000).

71605123104 is an abundant number, since it is smaller than the sum of its proper divisors (124145956896).

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

71605123104 is a wasteful number, since it uses less digits than its factorization.

71605123104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172810 (or 172802 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 71605123104 in words is "seventy-one billion, six hundred five million, one hundred twenty-three thousand, one hundred four".