86973087744 has 155 divisors (see below), whose sum is σ = 259845521287. Its totient is φ = 28991029248.

The previous prime is 86973087737. The next prime is 86973087769. The reversal of 86973087744 is 44778037968.

The square root of 86973087744 is 294912.

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

It is a Jordan-Polya number, since it can be written as (4!)⁴ ⋅ (2!)¹⁸.

It is an ABA number since it can be written as A⋅B^A, here for A=4, B=384.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 4 ways as a sum of consecutive naturals, for example, 28991029247 + 28991029248 + 28991029249.

Almost surely, 2^86973087744 is an apocalyptic number.

86973087744 is the 294912-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86973087744

86973087744 is an abundant number, since it is smaller than the sum of its proper divisors (172872433543).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

86973087744 is an frugal number, since it uses more digits than its factorization.

86973087744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 86973087744 in words is "eighty-six billion, nine hundred seventy-three million, eighty-seven thousand, seven hundred forty-four".