81272628567 has 48 divisors (see below), whose sum is σ = 129018052800. Its totient is φ = 48996969984.

The previous prime is 81272628559. The next prime is 81272628571. The reversal of 81272628567 is 76582627218.

81272628567 is a `hidden beast` number, since 8 + 1 + 2 + 7 + 2 + 628 + 5 + 6 + 7 = 666.

It is not a de Polignac number, because 81272628567 - 2³ = 81272628559 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81272620567) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1240678 + ... + 1304540.

It is an arithmetic number, because the mean of its divisors is an integer number (2687876100).

Almost surely, 2^81272628567 is an apocalyptic number.

81272628567 is a deficient number, since it is larger than the sum of its proper divisors (47745424233).

81272628567 is a wasteful number, since it uses less digits than its factorization.

81272628567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64104 (or 64101 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 81272628567 in words is "eighty-one billion, two hundred seventy-two million, six hundred twenty-eight thousand, five hundred sixty-seven".