85225085143000 has 512 divisors, whose sum is σ = 230018303923200. Its totient is φ = 29230502400000.

The previous prime is 85225085142893. The next prime is 85225085143001. The reversal of 85225085143000 is 34158052258.

It is a super-3 number, since 3×85225085143000³ (a number of 43 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85225085143001) 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, 64515582340 + ... + 64515583660.

It is an arithmetic number, because the mean of its divisors is an integer number (449254499850).

Almost surely, 2^{85225085143000} 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 85225085143000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115009151961600).

85225085143000 is an abundant number, since it is smaller than the sum of its proper divisors (144793218780200).

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

85225085143000 is a wasteful number, since it uses less digits than its factorization.

85225085143000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2486 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 43.

The spelling of 85225085143000 in words is "eighty-five trillion, two hundred twenty-five billion, eighty-five million, one hundred forty-three thousand".