71204288967 has 24 divisors (see below), whose sum is σ = 117553787520. Its totient is φ = 40684634640.

The previous prime is 71204288959. The next prime is 71204289007. The reversal of 71204288967 is 76988240217.

It is a happy number.

71204288967 is a `hidden beast` number, since 7 + 120 + 428 + 8 + 96 + 7 = 666.

It is not a de Polignac number, because 71204288967 - 2³ = 71204288959 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71204288567) 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 23 ways as a sum of consecutive naturals, for example, 797992 + ... + 882722.

It is an arithmetic number, because the mean of its divisors is an integer number (4898074480).

Almost surely, 2^71204288967 is an apocalyptic number.

71204288967 is a deficient number, since it is larger than the sum of its proper divisors (46349498553).

71204288967 is a wasteful number, since it uses less digits than its factorization.

71204288967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98083 (or 98080 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 71204288967 in words is "seventy-one billion, two hundred four million, two hundred eighty-eight thousand, nine hundred sixty-seven".