71136000000000 has 1800 divisors, whose sum is σ = 291191083463280. Its totient is φ = 16588800000000.

The previous prime is 71135999999969. The next prime is 71136000000061. The reversal of 71136000000000 is 63117.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 71136000000000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3743999999991 + ... + 3744000000009.

Almost surely, 2^{71136000000000} 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 71136000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145595541731640).

71136000000000 is an abundant number, since it is smaller than the sum of its proper divisors (220055083463280).

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

71136000000000 is an frugal number, since it uses more digits than its factorization.

71136000000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

Adding to 71136000000000 its reverse (63117), we get a palindrome (71136000063117).

The spelling of 71136000000000 in words is "seventy-one trillion, one hundred thirty-six billion", and thus it is an aban number.