86720179142689 has 9 divisors (see below), whose sum is σ = 86972632491123. Its totient is φ = 86468456550312.

The previous prime is 86720179142617. The next prime is 86720179142741. The reversal of 86720179142689 is 98624197102768.

The square root of 86720179142689 is 9312367.

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

It can be written as a sum of positive squares in only one way, i.e., 63651946499089 + 23068232643600 = 7978217^2 + 4802940^2 .

It is a de Polignac number, because none of the positive numbers 2^k-86720179142689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (86720179148689) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3250002742 + ... + 3250029424.

It is an arithmetic number, because the mean of its divisors is an integer number (9663625832347).

Almost surely, 2^{86720179142689} is an apocalyptic number.

86720179142689 is the 9312367-th square number.

86720179142689 is the 4656184-th centered octagonal number.

It is an amenable number.

86720179142689 is a deficient number, since it is larger than the sum of its proper divisors (252453348434).

86720179142689 is an frugal number, since it uses more digits than its factorization.

86720179142689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54064 (or 27032 counting only the distinct ones).

The product of its (nonzero) digits is 146313216, while the sum is 70.

The spelling of 86720179142689 in words is "eighty-six trillion, seven hundred twenty billion, one hundred seventy-nine million, one hundred forty-two thousand, six hundred eighty-nine".