86547167721 has 27 divisors (see below), whose sum is σ = 145433173431. Its totient is φ = 49451994144.

The previous prime is 86547167713. The next prime is 86547167731. The reversal of 86547167721 is 12776174568.

The square root of 86547167721 is 294189.

It is a perfect power (a square), and thus also a powerful number.

86547167721 is a `hidden beast` number, since 8 + 6 + 547 + 1 + 6 + 77 + 21 = 666.

It can be written as a sum of positive squares in only one way, i.e., 68257310121 + 18289857600 = 261261^2 + 135240^2 .

It is not a de Polignac number, because 86547167721 - 2³ = 86547167713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86547167731) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6170965 + ... + 6184973.

Almost surely, 2^86547167721 is an apocalyptic number.

86547167721 is the 294189-th square number.

86547167721 is the 147095-th centered octagonal number.

It is an amenable number.

86547167721 is a deficient number, since it is larger than the sum of its proper divisors (58886005710).

86547167721 is an frugal number, since it uses more digits than its factorization.

86547167721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28038 (or 14019 counting only the distinct ones).

The product of its digits is 3951360, while the sum is 54.

The spelling of 86547167721 in words is "eighty-six billion, five hundred forty-seven million, one hundred sixty-seven thousand, seven hundred twenty-one".