86327902620961 has 9 divisors (see below), whose sum is σ = 89407655020281. Its totient is φ = 83350818236784.

The previous prime is 86327902620923. The next prime is 86327902621027. The reversal of 86327902620961 is 16902620972368.

The square root of 86327902620961 is 9291281.

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

It can be written as a sum of positive squares in 4 ways, for example, as 17882064380961 + 68445838240000 = 4228719^2 + 8273200^2 .

It is not a de Polignac number, because 86327902620961 - 2¹⁷ = 86327902489889 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 86327902620961.

It is not an unprimeable number, because it can be changed into a prime (86327902620901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 269286955 + ... + 269607343.

Almost surely, 2^{86327902620961} is an apocalyptic number.

86327902620961 is the 9291281-st square number.

86327902620961 is the 4645641-st centered octagonal number.

It is an amenable number.

86327902620961 is a deficient number, since it is larger than the sum of its proper divisors (3079752399320).

86327902620961 is an frugal number, since it uses more digits than its factorization.

86327902620961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 640836 (or 320418 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 61.

The spelling of 86327902620961 in words is "eighty-six trillion, three hundred twenty-seven billion, nine hundred two million, six hundred twenty thousand, nine hundred sixty-one".