71291281920 has 160 divisors (see below), whose sum is σ = 228085526592. Its totient is φ = 18996314112.

The previous prime is 71291281907. The next prime is 71291281951. The reversal of 71291281920 is 2918219217.

It is a tau number, because it is divible by the number of its divisors (160).

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 15 ways as a sum of consecutive naturals, for example, 12999499 + ... + 13004981.

Almost surely, 2^71291281920 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 71291281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114042763296).

71291281920 is an abundant number, since it is smaller than the sum of its proper divisors (156794244672).

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

71291281920 is a wasteful number, since it uses less digits than its factorization.

71291281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7202 (or 7186 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 42.

The spelling of 71291281920 in words is "seventy-one billion, two hundred ninety-one million, two hundred eighty-one thousand, nine hundred twenty".