71113105536 has 192 divisors, whose sum is σ = 212462009760. Its totient is φ = 21047685120.

The previous prime is 71113105457. The next prime is 71113105559. The reversal of 71113105536 is 63550131117.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 71113105497 and 71113105506.

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, 1980156 + ... + 2015748.

Almost surely, 2^71113105536 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 71113105536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106231004880).

71113105536 is an abundant number, since it is smaller than the sum of its proper divisors (141348904224).

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

71113105536 is a wasteful number, since it uses less digits than its factorization.

71113105536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35675 (or 35652 counting only the distinct ones).

The product of its (nonzero) digits is 9450, while the sum is 33.

The spelling of 71113105536 in words is "seventy-one billion, one hundred thirteen million, one hundred five thousand, five hundred thirty-six".