85297185605268 has 576 divisors, whose sum is σ = 280447271104000. Its totient is φ = 21227336368128.

The previous prime is 85297185605237. The next prime is 85297185605311. The reversal of 85297185605268 is 86250658179258.

It is a happy number.

85297185605268 is a `hidden beast` number, since 8 + 5 + 2 + 9 + 7 + 1 + 8 + 5 + 605 + 2 + 6 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 85297185605196 and 85297185605205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19577042946 + ... + 19577047302.

Almost surely, 2^{85297185605268} 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 85297185605268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140223635552000).

85297185605268 is an abundant number, since it is smaller than the sum of its proper divisors (195150085498732).

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

85297185605268 is a wasteful number, since it uses less digits than its factorization.

85297185605268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5584 (or 5579 counting only the distinct ones).

The product of its (nonzero) digits is 580608000, while the sum is 72.

The spelling of 85297185605268 in words is "eighty-five trillion, two hundred ninety-seven billion, one hundred eighty-five million, six hundred five thousand, two hundred sixty-eight".