71119288960 has 32 divisors (see below), whose sum is σ = 170019551700. Its totient is φ = 28447715328.

The previous prime is 71119288957. The next prime is 71119288993. The reversal of 71119288960 is 6988291117.

It can be written as a sum of positive squares in 2 ways, for example, as 62008968256 + 9110320704 = 249016^2 + 95448^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 71119288898 and 71119288907.

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 3 ways as a sum of consecutive naturals, for example, 55561305 + ... + 55562584.

Almost surely, 2^71119288960 is an apocalyptic number.

It is an amenable number.

71119288960 is an abundant number, since it is smaller than the sum of its proper divisors (98900262740).

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

71119288960 is a wasteful number, since it uses less digits than its factorization.

71119288960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111123908 (or 111123896 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 52.

The spelling of 71119288960 in words is "seventy-one billion, one hundred nineteen million, two hundred eighty-eight thousand, nine hundred sixty".