85540295720439 has 128 divisors (see below), whose sum is σ = 151484132966400. Its totient is φ = 46644549114240.

The previous prime is 85540295720413. The next prime is 85540295720497. The reversal of 85540295720439 is 93402759204558.

85540295720439 is a `hidden beast` number, since 8 + 5 + 5 + 4 + 0 + 29 + 572 + 0 + 4 + 39 = 666.

It is not a de Polignac number, because 85540295720439 - 2¹⁹ = 85540295196151 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85540295725439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10614252792 + ... + 10614260850.

It is an arithmetic number, because the mean of its divisors is an integer number (1183469788800).

Almost surely, 2^{85540295720439} is an apocalyptic number.

85540295720439 is a deficient number, since it is larger than the sum of its proper divisors (65943837245961).

85540295720439 is a wasteful number, since it uses less digits than its factorization.

85540295720439 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13562 (or 13556 counting only the distinct ones).

The product of its (nonzero) digits is 108864000, while the sum is 63.

The spelling of 85540295720439 in words is "eighty-five trillion, five hundred forty billion, two hundred ninety-five million, seven hundred twenty thousand, four hundred thirty-nine".