85640241888 has 288 divisors, whose sum is σ = 265497523200. Its totient is φ = 26085888000.

The previous prime is 85640241859. The next prime is 85640241889. The reversal of 85640241888 is 88814204658.

85640241888 is a `hidden beast` number, since 8 + 56 + 402 + 4 + 188 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85640241889) 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 47 ways as a sum of consecutive naturals, for example, 68021803 + ... + 68023061.

It is an arithmetic number, because the mean of its divisors is an integer number (921866400).

Almost surely, 2^85640241888 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 85640241888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132748761600).

85640241888 is an abundant number, since it is smaller than the sum of its proper divisors (179857281312).

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

85640241888 is a wasteful number, since it uses less digits than its factorization.

85640241888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1726 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 3932160, while the sum is 54.

The spelling of 85640241888 in words is "eighty-five billion, six hundred forty million, two hundred forty-one thousand, eight hundred eighty-eight".