71431185920 has 80 divisors (see below), whose sum is σ = 171336377520. Its totient is φ = 28560973824.

The previous prime is 71431185883. The next prime is 71431185937. The reversal of 71431185920 is 2958113417.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 9491279 + ... + 9498801.

It is an arithmetic number, because the mean of its divisors is an integer number (2141704719).

Almost surely, 2^71431185920 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 71431185920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85668188760).

71431185920 is an abundant number, since it is smaller than the sum of its proper divisors (99905191600).

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

71431185920 is an equidigital number, since it uses as much as digits as its factorization.

71431185920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11255 (or 11239 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 41.

The spelling of 71431185920 in words is "seventy-one billion, four hundred thirty-one million, one hundred eighty-five thousand, nine hundred twenty".