85975354368 has 440 divisors, whose sum is σ = 274397566080. Its totient is φ = 26754416640.

The previous prime is 85975354303. The next prime is 85975354391. The reversal of 85975354368 is 86345357958.

85975354368 is a `hidden beast` number, since 8 + 5 + 97 + 535 + 4 + 3 + 6 + 8 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 74566080 + ... + 74567232.

It is an arithmetic number, because the mean of its divisors is an integer number (623630832).

Almost surely, 2^85975354368 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 85975354368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137198783040).

85975354368 is an abundant number, since it is smaller than the sum of its proper divisors (188422211712).

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

85975354368 is a wasteful number, since it uses less digits than its factorization.

85975354368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1245 (or 1218 counting only the distinct ones).

The product of its digits is 108864000, while the sum is 63.

The spelling of 85975354368 in words is "eighty-five billion, nine hundred seventy-five million, three hundred fifty-four thousand, three hundred sixty-eight".