85530920814 has 56 divisors (see below), whose sum is σ = 192502377792. Its totient is φ = 28488697920.

The previous prime is 85530920807. The next prime is 85530920819. The reversal of 85530920814 is 41802903558.

85530920814 is a `hidden beast` number, since 8 + 553 + 0 + 92 + 0 + 8 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 85530920814.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85530920819) 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 27 ways as a sum of consecutive naturals, for example, 1962787 + ... + 2005889.

Almost surely, 2^85530920814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85530920814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96251188896).

85530920814 is an abundant number, since it is smaller than the sum of its proper divisors (106971456978).

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

85530920814 is a wasteful number, since it uses less digits than its factorization.

85530920814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44484 (or 44469 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 85530920814 in words is "eighty-five billion, five hundred thirty million, nine hundred twenty thousand, eight hundred fourteen".