85678516224000 has 2160 divisors, whose sum is σ = 365300243538048. Its totient is φ = 18924503040000.

The previous prime is 85678516223921. The next prime is 85678516224073. The reversal of 85678516224000 is 42261587658.

85678516224000 is a `hidden beast` number, since 8 + 5 + 6 + 7 + 8 + 5 + 1 + 622 + 4 + 0 + 0 + 0 = 666.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 123992063655 + ... + 123992064345.

Almost surely, 2^{85678516224000} is an apocalyptic number.

85678516224000 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 85678516224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182650121769024).

85678516224000 is an abundant number, since it is smaller than the sum of its proper divisors (279621727314048).

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

85678516224000 is an equidigital number, since it uses as much as digits as its factorization.

85678516224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 85678516224000 in words is "eighty-five trillion, six hundred seventy-eight billion, five hundred sixteen million, two hundred twenty-four thousand".