71656220160 has 480 divisors, whose sum is σ = 296098593120. Its totient is φ = 16377790464.

The previous prime is 71656220149. The next prime is 71656220177. The reversal of 71656220160 is 6102265617.

It is a happy number.

71656220160 is a `hidden beast` number, since 7 + 16 + 5 + 622 + 0 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-3 number, since 3×71656220160³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 3376302 + ... + 3397458.

It is an arithmetic number, because the mean of its divisors is an integer number (616872069).

Almost surely, 2^71656220160 is an apocalyptic number.

71656220160 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71656220160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148049296560).

71656220160 is an abundant number, since it is smaller than the sum of its proper divisors (224442372960).

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

71656220160 is a wasteful number, since it uses less digits than its factorization.

71656220160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21203 (or 21174 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

Adding to 71656220160 its reverse (6102265617), we get a palindrome (77758485777).

The spelling of 71656220160 in words is "seventy-one billion, six hundred fifty-six million, two hundred twenty thousand, one hundred sixty".