85448987136000 has 1248 divisors, whose sum is σ = 327919172345856. Its totient is φ = 21330001920000.

The previous prime is 85448987135969. The next prime is 85448987136011. The reversal of 85448987136000 is 63178984458.

85448987136000 is a `hidden beast` number, since 8 + 5 + 4 + 4 + 8 + 9 + 8 + 7 + 13 + 600 + 0 = 666.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 14962173145 + ... + 14962178855.

It is an arithmetic number, because the mean of its divisors is an integer number (262755747072).

Almost surely, 2^{85448987136000} is an apocalyptic number.

85448987136000 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 85448987136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163959586172928).

85448987136000 is an abundant number, since it is smaller than the sum of its proper divisors (242470185209856).

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

85448987136000 is a wasteful number, since it uses less digits than its factorization.

85448987136000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5964 (or 5929 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 85448987136000 in words is "eighty-five trillion, four hundred forty-eight billion, nine hundred eighty-seven million, one hundred thirty-six thousand".