85286490336 has 288 divisors, whose sum is σ = 252291207168. Its totient is φ = 27311800320.

The previous prime is 85286490329. The next prime is 85286490353. The reversal of 85286490336 is 63309468258.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 331853920 + ... + 331854176.

It is an arithmetic number, because the mean of its divisors is an integer number (876011136).

Almost surely, 2^85286490336 is an apocalyptic number.

85286490336 is a gapful number since it is divisible by the number (86) 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 85286490336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126145603584).

85286490336 is an abundant number, since it is smaller than the sum of its proper divisors (167004716832).

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

85286490336 is a wasteful number, since it uses less digits than its factorization.

85286490336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 654 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 85286490336 in words is "eighty-five billion, two hundred eighty-six million, four hundred ninety thousand, three hundred thirty-six".