71961119118 has 320 divisors, whose sum is σ = 199683686400. Its totient is φ = 18914575680.

The previous prime is 71961119093. The next prime is 71961119123. The reversal of 71961119118 is 81191116917.

71961119118 is a `hidden beast` number, since 7 + 1 + 9 + 611 + 19 + 1 + 18 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 114042663 + ... + 114043293.

It is an arithmetic number, because the mean of its divisors is an integer number (624011520).

Almost surely, 2^71961119118 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71961119118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99841843200).

71961119118 is an abundant number, since it is smaller than the sum of its proper divisors (127722567282).

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

71961119118 is a wasteful number, since it uses less digits than its factorization.

71961119118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817 (or 808 counting only the distinct ones).

The product of its digits is 27216, while the sum is 45.

The spelling of 71961119118 in words is "seventy-one billion, nine hundred sixty-one million, one hundred nineteen thousand, one hundred eighteen".