71771132160 has 720 divisors, whose sum is σ = 316115686656. Its totient is φ = 15140929536.

The previous prime is 71771132113. The next prime is 71771132177. The reversal of 71771132160 is 6123117717.

It is a tau number, because it is divible by the number of its divisors (720).

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

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 79 ways as a sum of consecutive naturals, for example, 9431077 + ... + 9438683.

Almost surely, 2^71771132160 is an apocalyptic number.

71771132160 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 71771132160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158057843328).

71771132160 is an abundant number, since it is smaller than the sum of its proper divisors (244344554496).

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

71771132160 is a wasteful number, since it uses less digits than its factorization.

71771132160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7660 (or 7637 counting only the distinct ones).

The product of its (nonzero) digits is 12348, while the sum is 36.

Adding to 71771132160 its reverse (6123117717), we get a palindrome (77894249877).

The spelling of 71771132160 in words is "seventy-one billion, seven hundred seventy-one million, one hundred thirty-two thousand, one hundred sixty".