71133189120 has 880 divisors, whose sum is σ = 295322163840. Its totient is φ = 16036724736.

The previous prime is 71133189091. The next prime is 71133189133. The reversal of 71133189120 is 2198133117.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 310625166 + ... + 310625394.

It is an arithmetic number, because the mean of its divisors is an integer number (335593368).

Almost surely, 2^71133189120 is an apocalyptic number.

71133189120 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71133189120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147661081920).

71133189120 is an abundant number, since it is smaller than the sum of its proper divisors (224188974720).

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

71133189120 is a wasteful number, since it uses less digits than its factorization.

71133189120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 380 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 71133189120 in words is "seventy-one billion, one hundred thirty-three million, one hundred eighty-nine thousand, one hundred twenty".