85205520000 has 640 divisors, whose sum is σ = 318775459200. Its totient is φ = 22674816000.

The previous prime is 85205519999. The next prime is 85205520079. The reversal of 85205520000 is 2550258.

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 174959757 + ... + 174960243.

It is an arithmetic number, because the mean of its divisors is an integer number (498086655).

Almost surely, 2^85205520000 is an apocalyptic number.

85205520000 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 85205520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159387729600).

85205520000 is an abundant number, since it is smaller than the sum of its proper divisors (233569939200).

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

85205520000 is an frugal number, since it uses more digits than its factorization.

85205520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 4000, while the sum is 27.

The spelling of 85205520000 in words is "eighty-five billion, two hundred five million, five hundred twenty thousand".