71127972864 has 264 divisors, whose sum is σ = 222101792640. Its totient is φ = 21794291712.

The previous prime is 71127972809. The next prime is 71127972893. The reversal of 71127972864 is 46827972117.

It is a self number, because there is not a number n which added to its sum of digits gives 71127972864.

It is a congruent number.

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, 32227249 + ... + 32229455.

Almost surely, 2^71127972864 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 71127972864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111050896320).

71127972864 is an abundant number, since it is smaller than the sum of its proper divisors (150973819776).

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

71127972864 is a wasteful number, since it uses less digits than its factorization.

71127972864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2515 (or 2494 counting only the distinct ones).

The product of its digits is 2370816, while the sum is 54.

The spelling of 71127972864 in words is "seventy-one billion, one hundred twenty-seven million, nine hundred seventy-two thousand, eight hundred sixty-four".