85564341720 has 864 divisors, whose sum is σ = 338302364400. Its totient is φ = 18727188480.

The previous prime is 85564341719. The next prime is 85564341757. The reversal of 85564341720 is 2714346558.

85564341720 is a `hidden beast` number, since 85 + 564 + 3 + 4 + 1 + 7 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 434336662 + ... + 434336858.

Almost surely, 2^85564341720 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85564341720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169151182200).

85564341720 is an abundant number, since it is smaller than the sum of its proper divisors (252738022680).

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

85564341720 is a wasteful number, since it uses less digits than its factorization.

85564341720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 85564341720 in words is "eighty-five billion, five hundred sixty-four million, three hundred forty-one thousand, seven hundred twenty".