85965484752 has 360 divisors, whose sum is σ = 283573135872. Its totient is φ = 24238771200.

The previous prime is 85965484741. The next prime is 85965484753. The reversal of 85965484752 is 25748456958.

85965484752 is a `hidden beast` number, since 85 + 9 + 6 + 5 + 484 + 75 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 85965484752.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85965484753) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 305926852 + ... + 305927132.

Almost surely, 2^85965484752 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 85965484752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141786567936).

85965484752 is an abundant number, since it is smaller than the sum of its proper divisors (197607651120).

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

85965484752 is a wasteful number, since it uses less digits than its factorization.

85965484752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 711 counting only the distinct ones).

The product of its digits is 96768000, while the sum is 63.

The spelling of 85965484752 in words is "eighty-five billion, nine hundred sixty-five million, four hundred eighty-four thousand, seven hundred fifty-two".