86725938816 has 768 divisors, whose sum is σ = 300058214400. Its totient is φ = 24588748800.

The previous prime is 86725938811. The next prime is 86725938823. The reversal of 86725938816 is 61883952768.

It is not an unprimeable number, because it can be changed into a prime (86725938811) by changing a digit.

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, 682881345 + ... + 682881471.

It is an arithmetic number, because the mean of its divisors is an integer number (390700800).

Almost surely, 2^86725938816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86725938816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150029107200).

86725938816 is an abundant number, since it is smaller than the sum of its proper divisors (213332275584).

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

86725938816 is a wasteful number, since it uses less digits than its factorization.

86725938816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 237 counting only the distinct ones).

The product of its digits is 34836480, while the sum is 63.

The spelling of 86725938816 in words is "eighty-six billion, seven hundred twenty-five million, nine hundred thirty-eight thousand, eight hundred sixteen".