85452840192 has 144 divisors (see below), whose sum is σ = 239763750912. Its totient is φ = 26978580480.

The previous prime is 85452840191. The next prime is 85452840247. The reversal of 85452840192 is 29104825458.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85452840191) 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 15 ways as a sum of consecutive naturals, for example, 1080793 + ... + 1157159.

It is an arithmetic number, because the mean of its divisors is an integer number (1665026048).

Almost surely, 2^85452840192 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 85452840192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119881875456).

85452840192 is an abundant number, since it is smaller than the sum of its proper divisors (154310910720).

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

85452840192 is a wasteful number, since it uses less digits than its factorization.

85452840192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76464 (or 76450 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The spelling of 85452840192 in words is "eighty-five billion, four hundred fifty-two million, eight hundred forty thousand, one hundred ninety-two".