71661506100 has 72 divisors (see below), whose sum is σ = 207609524640. Its totient is φ = 19084951680.

The previous prime is 71661506099. The next prime is 71661506113. The reversal of 71661506100 is 160516617.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 77391 + ... + 386409.

It is an arithmetic number, because the mean of its divisors is an integer number (2883465620).

Almost surely, 2^71661506100 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 71661506100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103804762320).

71661506100 is an abundant number, since it is smaller than the sum of its proper divisors (135948018540).

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

71661506100 is a wasteful number, since it uses less digits than its factorization.

71661506100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309809 (or 309802 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 71661506100 in words is "seventy-one billion, six hundred sixty-one million, five hundred six thousand, one hundred".