86671351965025 has 27 divisors (see below), whose sum is σ = 108145329147219. Its totient is φ = 68905667988720.

The previous prime is 86671351964983. The next prime is 86671351965043. The reversal of 86671351965025 is 52056915317668.

It is a happy number.

The square root of 86671351965025 is 9309745.

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., 31201686707409 + 55469665257616 = 5585847^2 + 7447796^2 .

It is not a de Polignac number, because 86671351965025 - 2¹¹ = 86671351962977 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7587436464 + ... + 7587447886.

Almost surely, 2^{86671351965025} is an apocalyptic number.

86671351965025 is the 9309745-th square number.

86671351965025 is the 4654873-rd centered octagonal number.

It is an amenable number.

86671351965025 is a deficient number, since it is larger than the sum of its proper divisors (21473977182194).

86671351965025 is an frugal number, since it uses more digits than its factorization.

86671351965025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23182 (or 11591 counting only the distinct ones).

The product of its (nonzero) digits is 81648000, while the sum is 64.

The spelling of 86671351965025 in words is "eighty-six trillion, six hundred seventy-one billion, three hundred fifty-one million, nine hundred sixty-five thousand, twenty-five".