85852714752 has 144 divisors (see below), whose sum is σ = 290150542080. Its totient is φ = 24529333248.

The previous prime is 85852714751. The next prime is 85852714757. The reversal of 85852714752 is 25741725858.

It is a happy number.

85852714752 is a `hidden beast` number, since 8 + 58 + 52 + 71 + 475 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85852714751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 838818 + ... + 935585.

It is an arithmetic number, because the mean of its divisors is an integer number (2014934320).

Almost surely, 2^85852714752 is an apocalyptic number.

It is an amenable number.

85852714752 is an abundant number, since it is smaller than the sum of its proper divisors (204297827328).

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

85852714752 is a wasteful number, since it uses less digits than its factorization.

85852714752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1774435 (or 1774415 counting only the distinct ones).

The product of its digits is 6272000, while the sum is 54.

The spelling of 85852714752 in words is "eighty-five billion, eight hundred fifty-two million, seven hundred fourteen thousand, seven hundred fifty-two".