71080450560 has 960 divisors, whose sum is σ = 303627709440. Its totient is φ = 15699640320.

The previous prime is 71080450547. The next prime is 71080450601. The reversal of 71080450560 is 6505408017.

71080450560 is a `hidden beast` number, since 7 + 10 + 80 + 4 + 5 + 0 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 95 ways as a sum of consecutive naturals, for example, 104992942 + ... + 104993618.

It is an arithmetic number, because the mean of its divisors is an integer number (316278864).

Almost surely, 2^71080450560 is an apocalyptic number.

71080450560 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 71080450560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151813854720).

71080450560 is an abundant number, since it is smaller than the sum of its proper divisors (232547258880).

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

71080450560 is a wasteful number, since it uses less digits than its factorization.

71080450560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 754 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Adding to 71080450560 its reverse (6505408017), we get a palindrome (77585858577).

The spelling of 71080450560 in words is "seventy-one billion, eighty million, four hundred fifty thousand, five hundred sixty".