85285854720 has 640 divisors, whose sum is σ = 344922209280. Its totient is φ = 19772375040.

The previous prime is 85285854683. The next prime is 85285854727. The reversal of 85285854720 is 2745858258.

85285854720 is a `hidden beast` number, since 8 + 5 + 28 + 58 + 547 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85285854727) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17484922 + ... + 17489798.

It is an arithmetic number, because the mean of its divisors is an integer number (538940952).

Almost surely, 2^85285854720 is an apocalyptic number.

85285854720 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 85285854720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172461104640).

85285854720 is an abundant number, since it is smaller than the sum of its proper divisors (259636354560).

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

85285854720 is a wasteful number, since it uses less digits than its factorization.

85285854720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4943 (or 4921 counting only the distinct ones).

The product of its (nonzero) digits is 7168000, while the sum is 54.

The spelling of 85285854720 in words is "eighty-five billion, two hundred eighty-five million, eight hundred fifty-four thousand, seven hundred twenty".