86685442752 has 112 divisors (see below), whose sum is σ = 233563123424. Its totient is φ = 28366848000.

The previous prime is 86685442751. The next prime is 86685442783. The reversal of 86685442752 is 25724458668.

It is a super-2 number, since 2×86685442752² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 86685442692 and 86685442701.

It is not an unprimeable number, because it can be changed into a prime (86685442751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6329352 + ... + 6343032.

Almost surely, 2^86685442752 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 86685442752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116781561712).

86685442752 is an abundant number, since it is smaller than the sum of its proper divisors (146877680672).

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

86685442752 is a wasteful number, since it uses less digits than its factorization.

86685442752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14298 (or 14288 counting only the distinct ones).

The product of its digits is 25804800, while the sum is 57.

The spelling of 86685442752 in words is "eighty-six billion, six hundred eighty-five million, four hundred forty-two thousand, seven hundred fifty-two".