86633680896 has 585 divisors, whose sum is σ = 305233445781. Its totient is φ = 24413405184.

The previous prime is 86633680853. The next prime is 86633680927. The reversal of 86633680896 is 69808633668.

The square root of 86633680896 is 294336.

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., 49177497600 + 37456183296 = 221760^2 + 193536^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1186762716 + ... + 1186762788.

Almost surely, 2^86633680896 is an apocalyptic number.

86633680896 is the 294336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86633680896

86633680896 is an abundant number, since it is smaller than the sum of its proper divisors (218599764885).

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

86633680896 is an frugal number, since it uses more digits than its factorization.

86633680896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 86633680896 in words is "eighty-six billion, six hundred thirty-three million, six hundred eighty thousand, eight hundred ninety-six".