71145718800 has 480 divisors, whose sum is σ = 255051675648. Its totient is φ = 16839567360.

The previous prime is 71145718789. The next prime is 71145718837. The reversal of 71145718800 is 881754117.

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 95 ways as a sum of consecutive naturals, for example, 44942809 + ... + 44944391.

Almost surely, 2^71145718800 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 71145718800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127525837824).

71145718800 is an abundant number, since it is smaller than the sum of its proper divisors (183905956848).

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

71145718800 is a wasteful number, since it uses less digits than its factorization.

71145718800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1727 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 42.

The spelling of 71145718800 in words is "seventy-one billion, one hundred forty-five million, seven hundred eighteen thousand, eight hundred".