85204528560 has 280 divisors, whose sum is σ = 309933493344. Its totient is φ = 21732986880.

The previous prime is 85204528543. The next prime is 85204528609. The reversal of 85204528560 is 6582540258.

It is a happy number.

85204528560 is a `hidden beast` number, since 8 + 5 + 20 + 45 + 28 + 560 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1309600 + ... + 1373120.

Almost surely, 2^85204528560 is an apocalyptic number.

85204528560 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 85204528560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154966746672).

85204528560 is an abundant number, since it is smaller than the sum of its proper divisors (224728964784).

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

85204528560 is a wasteful number, since it uses less digits than its factorization.

85204528560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63575 (or 63554 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 45.

The spelling of 85204528560 in words is "eighty-five billion, two hundred four million, five hundred twenty-eight thousand, five hundred sixty".