71561820288 has 192 divisors, whose sum is σ = 221976659520. Its totient is φ = 20367083520.

The previous prime is 71561820259. The next prime is 71561820299. The reversal of 71561820288 is 88202816517.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4941378 + ... + 4955838.

It is an arithmetic number, because the mean of its divisors is an integer number (1156128435).

Almost surely, 2^71561820288 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 71561820288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110988329760).

71561820288 is an abundant number, since it is smaller than the sum of its proper divisors (150414839232).

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

71561820288 is a wasteful number, since it uses less digits than its factorization.

71561820288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14755 (or 14736 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The spelling of 71561820288 in words is "seventy-one billion, five hundred sixty-one million, eight hundred twenty thousand, two hundred eighty-eight".