85975186752 has 672 divisors, whose sum is σ = 325344983040. Its totient is φ = 22051491840.

The previous prime is 85975186741. The next prime is 85975186769. The reversal of 85975186752 is 25768157958.

85975186752 is a `hidden beast` number, since 8 + 5 + 9 + 7 + 518 + 67 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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 85975186752.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 40726177 + ... + 40728287.

It is an arithmetic number, because the mean of its divisors is an integer number (484144320).

Almost surely, 2^85975186752 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 85975186752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162672491520).

85975186752 is an abundant number, since it is smaller than the sum of its proper divisors (239369796288).

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

85975186752 is a wasteful number, since it uses less digits than its factorization.

85975186752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2196 (or 2173 counting only the distinct ones).

The product of its digits is 42336000, while the sum is 63.

The spelling of 85975186752 in words is "eighty-five billion, nine hundred seventy-five million, one hundred eighty-six thousand, seven hundred fifty-two".