71660160000 has 1760 divisors, whose sum is σ = 322299331200. Its totient is φ = 15482880000.

The previous prime is 71660159999. The next prime is 71660160017. The reversal of 71660160000 is 6106617.

It is a tau number, because it is divible by the number of its divisors (1760).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2471039986 + ... + 2471040014.

It is an arithmetic number, because the mean of its divisors is an integer number (183124620).

Almost surely, 2^71660160000 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 71660160000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161149665600).

71660160000 is an abundant number, since it is smaller than the sum of its proper divisors (250639171200).

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

71660160000 is a wasteful number, since it uses less digits than its factorization.

71660160000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

Adding to 71660160000 its reverse (6106617), we get a palindrome (71666266617).

The spelling of 71660160000 in words is "seventy-one billion, six hundred sixty million, one hundred sixty thousand".