71828288961 has 16 divisors (see below), whose sum is σ = 112514243520. Its totient is φ = 40183657920.

The previous prime is 71828288957. The next prime is 71828288969. The reversal of 71828288961 is 16988282817.

It is not a de Polignac number, because 71828288961 - 2² = 71828288957 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 71828288895 and 71828288904.

It is not an unprimeable number, because it can be changed into a prime (71828288969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83715526 + ... + 83716383.

It is an arithmetic number, because the mean of its divisors is an integer number (7032140220).

Almost surely, 2^71828288961 is an apocalyptic number.

It is an amenable number.

71828288961 is a deficient number, since it is larger than the sum of its proper divisors (40685954559).

71828288961 is a wasteful number, since it uses less digits than its factorization.

71828288961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167431936.

The product of its digits is 6193152, while the sum is 60.

The spelling of 71828288961 in words is "seventy-one billion, eight hundred twenty-eight million, two hundred eighty-eight thousand, nine hundred sixty-one".