85541925312 has 168 divisors, whose sum is σ = 265328009856. Its totient is φ = 27274123008.

The previous prime is 85541925311. The next prime is 85541925317. The reversal of 85541925312 is 21352914558.

85541925312 is a `hidden beast` number, since 8 + 5 + 541 + 92 + 5 + 3 + 12 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85541925311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 238123 + ... + 477269.

It is an arithmetic number, because the mean of its divisors is an integer number (1579333392).

Almost surely, 2^85541925312 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 85541925312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132664004928).

85541925312 is an abundant number, since it is smaller than the sum of its proper divisors (179786084544).

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

85541925312 is a wasteful number, since it uses less digits than its factorization.

85541925312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239197 (or 239175 counting only the distinct ones).

The product of its digits is 432000, while the sum is 45.

The spelling of 85541925312 in words is "eighty-five billion, five hundred forty-one million, nine hundred twenty-five thousand, three hundred twelve".