85869464064 has 160 divisors (see below), whose sum is σ = 233645998080. Its totient is φ = 28017487872.

The previous prime is 85869464059. The next prime is 85869464069. The reversal of 85869464064 is 46046496858.

It is an interprime number because it is at equal distance from previous prime (85869464059) and next prime (85869464069).

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 85869463989 and 85869464007.

It is not an unprimeable number, because it can be changed into a prime (85869464069) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16772097 + ... + 16777215.

It is an arithmetic number, because the mean of its divisors is an integer number (1460287488).

Almost surely, 2^85869464064 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 85869464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116822999040).

85869464064 is an abundant number, since it is smaller than the sum of its proper divisors (147776534016).

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

85869464064 is a wasteful number, since it uses less digits than its factorization.

85869464064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5370 (or 5354 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 60.

The spelling of 85869464064 in words is "eighty-five billion, eight hundred sixty-nine million, four hundred sixty-four thousand, sixty-four".