85014282240000 has 1000 divisors, whose sum is σ = 317488800984300. Its totient is φ = 22663397376000.

The previous prime is 85014282239963. The next prime is 85014282240029. The reversal of 85014282240000 is 4228241058.

85014282240000 is a `hidden beast` number, since 8 + 5 + 0 + 1 + 428 + 224 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1000).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 26542078399 + ... + 26542081601.

Almost surely, 2^{85014282240000} is an apocalyptic number.

85014282240000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85014282240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158744400492150).

85014282240000 is an abundant number, since it is smaller than the sum of its proper divisors (232474518744300).

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

85014282240000 is an frugal number, since it uses more digits than its factorization.

85014282240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3273 (or 3213 counting only the distinct ones).

The product of its (nonzero) digits is 40960, while the sum is 36.

The spelling of 85014282240000 in words is "eighty-five trillion, fourteen billion, two hundred eighty-two million, two hundred forty thousand".