71543081664000 has 1920 divisors, whose sum is σ = 287181184942080. Its totient is φ = 17048199168000.

The previous prime is 71543081663981. The next prime is 71543081664101. The reversal of 71543081664000 is 46618034517.

71543081664000 is a `hidden beast` number, since 7 + 1 + 54 + 30 + 8 + 166 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11909948997 + ... + 11909955003.

It is an arithmetic number, because the mean of its divisors is an integer number (149573533824).

Almost surely, 2^{71543081664000} 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 71543081664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143590592471040).

71543081664000 is an abundant number, since it is smaller than the sum of its proper divisors (215638103278080).

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

71543081664000 is a wasteful number, since it uses less digits than its factorization.

71543081664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6129 (or 6100 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

Adding to 71543081664000 its reverse (46618034517), we get a palindrome (71589699698517).

The spelling of 71543081664000 in words is "seventy-one trillion, five hundred forty-three billion, eighty-one million, six hundred sixty-four thousand".