85803242112 has 1024 divisors, whose sum is σ = 328259174400. Its totient is φ = 21488467968.

The previous prime is 85803242093. The next prime is 85803242117. The reversal of 85803242112 is 21124230858.

It is a happy number.

85803242112 is a `hidden beast` number, since 8 + 580 + 32 + 42 + 1 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (85803242117) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 444576288 + ... + 444576480.

It is an arithmetic number, because the mean of its divisors is an integer number (320565600).

Almost surely, 2^85803242112 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 85803242112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164129587200).

85803242112 is an abundant number, since it is smaller than the sum of its proper divisors (242455932288).

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

85803242112 is a wasteful number, since it uses less digits than its factorization.

85803242112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310 (or 292 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 85803242112 in words is "eighty-five billion, eight hundred three million, two hundred forty-two thousand, one hundred twelve".