85863469680384 has 432 divisors, whose sum is σ = 258877700188800. Its totient is φ = 25231136071680.

The previous prime is 85863469680379. The next prime is 85863469680451. The reversal of 85863469680384 is 48308696436858.

It is a super-2 number, since 2×85863469680384² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 555353362 + ... + 555507950.

Almost surely, 2^{85863469680384} 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 85863469680384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129438850094400).

85863469680384 is an abundant number, since it is smaller than the sum of its proper divisors (173014230508416).

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

85863469680384 is a wasteful number, since it uses less digits than its factorization.

85863469680384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154812 (or 154787 counting only the distinct ones).

The product of its (nonzero) digits is 5733089280, while the sum is 78.

The spelling of 85863469680384 in words is "eighty-five trillion, eight hundred sixty-three billion, four hundred sixty-nine million, six hundred eighty thousand, three hundred eighty-four".