85855647872000 has 352 divisors, whose sum is σ = 219603952189440. Its totient is φ = 33475829760000.

The previous prime is 85855647871951. The next prime is 85855647872023. The reversal of 85855647872000 is 27874655858.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6712185605 + ... + 6712198395.

Almost surely, 2^{85855647872000} is an apocalyptic number.

85855647872000 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 85855647872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109801976094720).

85855647872000 is an abundant number, since it is smaller than the sum of its proper divisors (133748304317440).

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

85855647872000 is a wasteful number, since it uses less digits than its factorization.

85855647872000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14146 (or 14118 counting only the distinct ones).

The product of its (nonzero) digits is 150528000, while the sum is 65.

The spelling of 85855647872000 in words is "eighty-five trillion, eight hundred fifty-five billion, six hundred forty-seven million, eight hundred seventy-two thousand".