85860256384 has 128 divisors (see below), whose sum is σ = 203080204800. Its totient is φ = 35378380800.

The previous prime is 85860256381. The next prime is 85860256393. The reversal of 85860256384 is 48365206858.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (85860256381) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 6255289 + ... + 6268999.

It is an arithmetic number, because the mean of its divisors is an integer number (1586564100).

Almost surely, 2^85860256384 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 85860256384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101540102400).

85860256384 is an abundant number, since it is smaller than the sum of its proper divisors (117219948416).

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

85860256384 is a wasteful number, since it uses less digits than its factorization.

85860256384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14002 (or 13990 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 55.

The spelling of 85860256384 in words is "eighty-five billion, eight hundred sixty million, two hundred fifty-six thousand, three hundred eighty-four".