85759914240 has 2304 divisors, whose sum is σ = 425915965440. Its totient is φ = 15765995520.

The previous prime is 85759914199. The next prime is 85759914259. The reversal of 85759914240 is 4241995758.

It is a happy number.

85759914240 is a `hidden beast` number, since 8 + 5 + 7 + 599 + 1 + 4 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

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 255 ways as a sum of consecutive naturals, for example, 1279998687 + ... + 1279998753.

It is an arithmetic number, because the mean of its divisors is an integer number (184859360).

Almost surely, 2^85759914240 is an apocalyptic number.

85759914240 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85759914240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212957982720).

85759914240 is an abundant number, since it is smaller than the sum of its proper divisors (340156051200).

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

85759914240 is a wasteful number, since it uses less digits than its factorization.

85759914240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

It can be divided in two parts, 85759 and 914240, that added together give a palindrome (999999).

The spelling of 85759914240 in words is "eighty-five billion, seven hundred fifty-nine million, nine hundred fourteen thousand, two hundred forty".