86887509894409 has 27 divisors (see below), whose sum is σ = 101570610277773. Its totient is φ = 74110301458200.

The previous prime is 86887509894343. The next prime is 86887509894421. The reversal of 86887509894409 is 90449890578868.

The square root of 86887509894409 is 9321347.

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

It is not a de Polignac number, because 86887509894409 - 2⁷ = 86887509894281 is a prime.

It is not an unprimeable number, because it can be changed into a prime (86887509894509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13767626364 + ... + 13767632674.

Almost surely, 2^{86887509894409} is an apocalyptic number.

86887509894409 is the 9321347-th square number.

86887509894409 is the 4660674-th centered octagonal number.

It is an amenable number.

86887509894409 is a deficient number, since it is larger than the sum of its proper divisors (14683100383364).

86887509894409 is an frugal number, since it uses more digits than its factorization.

86887509894409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13058 (or 6529 counting only the distinct ones).

The product of its (nonzero) digits is 10032906240, while the sum is 85.

The spelling of 86887509894409 in words is "eighty-six trillion, eight hundred eighty-seven billion, five hundred nine million, eight hundred ninety-four thousand, four hundred nine".