85740213348 has 72 divisors (see below), whose sum is σ = 221248434680. Its totient is φ = 27988623360.

The previous prime is 85740213343. The next prime is 85740213451. The reversal of 85740213348 is 84331204758.

85740213348 is a `hidden beast` number, since 8 + 57 + 40 + 213 + 348 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4333852224 + 81406361124 = 65832^2 + 285318^2 .

It is not an unprimeable number, because it can be changed into a prime (85740213341) 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 23 ways as a sum of consecutive naturals, for example, 417636 + ... + 588132.

Almost surely, 2^85740213348 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 85740213348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110624217340).

85740213348 is an abundant number, since it is smaller than the sum of its proper divisors (135508221332).

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

85740213348 is a wasteful number, since it uses less digits than its factorization.

85740213348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170797 (or 170792 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 85740213348 in words is "eighty-five billion, seven hundred forty million, two hundred thirteen thousand, three hundred forty-eight".