86869336320 has 864 divisors, whose sum is σ = 346525452000. Its totient is φ = 19903021056.

The previous prime is 86869336291. The next prime is 86869336331. The reversal of 86869336320 is 2363396868.

It can be written as a sum of positive squares in 16 ways, for example, as 17755029504 + 69114306816 = 133248^2 + 262896^2 .

It is a super-2 number, since 2×86869336320² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 379341966 + ... + 379342194.

It is an arithmetic number, because the mean of its divisors is an integer number (401071125).

Almost surely, 2^86869336320 is an apocalyptic number.

86869336320 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86869336320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173262726000).

86869336320 is an abundant number, since it is smaller than the sum of its proper divisors (259656115680).

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

86869336320 is a wasteful number, since it uses less digits than its factorization.

86869336320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 435 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 86869336320 in words is "eighty-six billion, eight hundred sixty-nine million, three hundred thirty-six thousand, three hundred twenty".