85475588661216 has 768 divisors, whose sum is σ = 285716790374400. Its totient is φ = 24658116747264.

The previous prime is 85475588661187. The next prime is 85475588661233. The reversal of 85475588661216 is 61216688557458.

It is a happy number.

85475588661216 is a `hidden beast` number, since 8 + 5 + 4 + 7 + 558 + 8 + 6 + 61 + 2 + 1 + 6 = 666.

85475588661216 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 18059492386 + ... + 18059497118.

It is an arithmetic number, because the mean of its divisors is an integer number (372027070800).

Almost surely, 2^{85475588661216} 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 85475588661216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142858395187200).

85475588661216 is an abundant number, since it is smaller than the sum of its proper divisors (200241201713184).

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

85475588661216 is a wasteful number, since it uses less digits than its factorization.

85475588661216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6160 (or 6146 counting only the distinct ones).

The product of its digits is 774144000, while the sum is 72.

The spelling of 85475588661216 in words is "eighty-five trillion, four hundred seventy-five billion, five hundred eighty-eight million, six hundred sixty-one thousand, two hundred sixteen".